Actually quite a few games will work on that chipset if you have ample RAM installed it supports as I quote
"Intel® G41 Express Chipset delivers optimized 3D graphics performance and support for Microsoft DirectX* 10, Shader Model* 4.0, and OpenGL* 2.0. These graphics enhancements deliver the performance and compatibility you need for entertaining, everyday gameplay for the most popular game titles."
Although nothing beats a discrete graphics card but I have my doubts if your particular Mobo has a PCIe Slot.....
If it does, I'm happy for you but if , as the case usually is, you don't then it's going to limit your gameplay to a certain extent.