yes, very well so.
It is in the 2nd bracket of the gaming hierarchy chart: http://www.tomshardware.com/reviews/best-gaming-cpu-core-i3-2100-recommended-processor,2895-5.html
Also the conclusion of this article with 7 (intel and amd) under $200 processors was that the i3-2100 is great for gaming, it beats out even the phenom II x4 970... on average.http://www.tomshardware.com/reviews/best-gaming-cpu-core-i3-2100-phenom-ii-x6-1075t,2859.html
You can also check out anandtech bench... and you will see it is very capable of gaming,
Only thing I'd recommend other than this (but more expensive obviously) would be the i5 sandy bridges, (i5-2xxx)
This is all assuming you can afford a video card other wise a cpu alone cant really game lol...