The Intel G33/G31 chipset has the integrated Intel GMA X3100 graphics core. It is not really meant for games. Intel integrated graphics are generally geared towards business related tasks like simple videos and presentations. Not for fragging your despised co-workers.
If you want to play games, then it is recommend to play some older games since it is very weak for modern games. I suppose it can play games from as recent as 2009 at low resolution and graphics quality, but not very smoothly.
If you want smoother game play, then maybe a game that's no more recent than 2004. Otherwise, you need to install a video card. If this is a laptop you are talking about, then you need to buy a new laptop.