To the Calvinist, what does it mean that in the beginning God already has His object of wrath? I have a Calvinist friend who told me that before the creation, God already knows the objects of His wrath. (I'm not a Christian).

I question him 


"the objects of His wrath" is in a point of view in the beginning or
in the end.
whether God wants His objects of wrath to repent or not


He gave me Romans 9:20-21 and told me the verse is telling that "in the beginning God has decided to make some are the objects of His wrath and some are the objects if His mercy".

But when I read the verses, I found in verse 22 is telling 


  What if God, although choosing to show his wrath and make his power
  known, bore with great patience the objects of his wrath--prepared for
  destruction?


So I said to my friend that even the writer of Romans still not sure about what he said in verse 20 and 21. This can be concluded when he say "What IF" in the verse 22.

Thanks for his pointing me out Romans 9:20-21 which made me also read the verse 22, it seems to me the answer of my question #2 is more likely (still not sure though) that God wants the objects of His wrath to repent, as the writer of Romans himself put a question on this case in his verse 22.

But then he starts to speak "bla-bla-bla" which to me is vague and not clear. He told me something like this : "Before the creation God knows that ALL (every) man is the objects of His wrath. Still in before the creation, THEN He choose some of them to repent ... so, after the creation He made His chosen one to repent." 

To me, his explanation is more chronological in nature. Which raises the question: "Before the creation, before He knows that all man is the objects of His wrath, before He choose some of them to repent, didn't God know who are the one in Heaven and Hell at the end of the world already ?" From this question, it maybe can answer my question #1 : "the objects of His wrath is in the point of view in the end (judgement day)". (still not sure though if this is what Calvinist think or not).

I'm asking here hoping to get a clear answer from an English speaking Calvinist.
Firstly, the use of "And what if" at the start of the sentence is a rhetorical device. It is not asking a question, thus making Paul unsure as to whether this is or is not the case. Rather, it follows on from his other rhetorical questions, e.g. "But who are you, O man, to answer back to God?"

John Calvin addresses this in his commentary on Romans (emphasis mine):


  A second answer, by which he briefly shows, that though the counsel
  of God is in fact incomprehensible, yet his unblamable justice shines
  forth no less in the perdition of the reprobate than in the salvation
  of the elect. He does not indeed give a reason for divine election, so
  as to assign a cause why this man is chosen and that man rejected; for
  it was not meet that the things contained in the secret counsel of God
  should be subjected to the judgment of men; and, besides, this mystery
  is inexplicable. He therefore keeps us from curiously examining those
  things which exceed human comprehension. He yet shows, that as far as
  God’s predestination manifests itself, it appears perfectly just.
  
  The particles, εἰ δὲ, used by Paul, I take to mean, And what if? so
  that the whole sentence is a question; and thus the sense will be more
  evident: and there is here an ellipsis, when we are to consider this
  as being understood, — “Who then can charge him with unrighteousness,
  or arraign him?” for here appears nothing but the most perfect course
  of justice.


Secondly, the objects of His wrath do not become the objects of His wrath AFTER their creation, because it says He prepares them. Taking into account also the context of Jacob and Esau being loved/hated before their birth, it is not a case of them being born, doing deeds, and then becoming objects of wrath. They are objects of wrath prepared for destruction from before their birth.  

In Calvin's commentary on Romans, he also says the following:


  But if we wish fully to understand Paul, almost every word must be
  examined. He then argues thus, — There are vessels prepared for
  destruction, that is, given up and appointed to destruction: they are
  also vessels of wrath, that is, made and formed for this end, that
  they may be examples of God’s vengeance and displeasure. If the Lord
  bears patiently for a time with these, not destroying them at the
  first moment, but deferring the judgment prepared for them, and this
  in order to set forth the decisions of his severity, that others may
  be terrified by so dreadful examples, and also to make known his
  power, to exhibit which he makes them in various ways to serve; and,
  further, that the amplitude of his mercy towards the elect may hence
  be more fully known and more brightly shine forth; — what is there
  worthy of being reprehended in this dispensation? But that he is
  silent as to the reason, why they are vessels appointed to
  destruction, is no matter of wonder. He indeed takes it as granted,
  according to what has been already said, that the reason is hid in the
  secret and inexplorable counsel of God; whose justice it behoves us
  rather to adore than to scrutinize.


From this we can understand that God does intend from the beginning to destroy those He has elected to be vessels of wrath, but He doesn't destroy them immediately. Rather, His wrath is deferred until the Day of Judgment.

Thirdly, your second question asks "Does God wants His objects of wrath to repent or not?" While this could be perhaps more thoroughly addressed, essentially He does not intend for His objects of wrath to ever repent. There is a general sense in which His will is for all men to repent, but His effective will is clear here; there are those chosen who will never repent, because God creates them such that they will never repent. We know that the gospel is for all men from various parts of the Bible, but we also know from various parts of the Bible that God has chosen those who will be saved and those who will not be saved.