Is there any software (open source and/or free) that reads chess notation? I would like to convert a chess notation into a game. How to do that?

I have a game in algebraic notation, let say, 

1.e4 c5 2.Nf3 h6 3.d4 e6 4.c3 Nf6 5.Bd3 a6 6.Bc2 Be7 7.Qd3 b5 8.b3 Qc7
9.Nbd2 Bb7 10.0-0  c4 11.bxc4 bxc4 12.Qe2 0-0 13.Nxc4 d5 14.Nce5 dxe4 
15.Nh4 Qxc3 16.Be3 Nc6 17.Nxc6 Bxc6 18.Rac1 Bb5 19.Qd1 Bxf1 20.Qxf1 Qa5 
21.Bb3 Rfc8 22.Rd1 Qh5 23.g3 Ng4 24.Ng2


Is there any software that reads this?
Yes, there are several.

Your question is very vague, though. Arena is an OK choice if you're on Windows; otherwise Lichess is an online option. All of these are free, but there are many more, both free and costly ones (but I don't have enough reputation for more links, and I don't know exactly what you're after).

The computer-readable format of algebraic notation is called Portable Game Notation (PGN), which might help you with searching for alternatives.