This re-release is fine -- it basically just improves the graphics and a bit of the AI. It doesn't add very much of substance over the original, but the new animations and fidelity definitely look better.
One small change that I like/hate is that Joels scavenging animations are now less ridiculous.
One small change that is incredible is that weapon ammo is no longer red when you pick it up!

If you haven't played it, you might as well get this version, since it is better, though the first remaster is 95% of what this game is anyway, so you can't really go wrong with that either.

My review of the original release.