What is the name of this fragment? Where can I find more? According to this article in The Blaze:


  The discovery of a small papyrus fragment containing words from the Book of Mark could end up being the earliest copy of a Christian gospel on record, according to experts. The biblical text, which came from Egypt, was reportedly placed on a sheet of papyrus before the document was recycled and used to create a mummy mask.


The article goes on to state several interesting "facts" about this Gospel of Mark fragment:


It may date to 90AD, which would make it even older than p52 - the oldest known fragment
It is currently unpublished, although it may be published in 2015.
Daniel Wallace has mentioned it


While I'm sure the historians will debate the scientific evidence, I have a much more simple question - what is it being called, and how will i be able to follow updates about its veracity?

And, if I wanted to see a copy of it, where would I go to find it?
You can start with the finder's website and this article from The Gospel Coalition.

As to where to find more, Craig Evans might know.