Is this a good gaming computer?

Its a great computer, but LGA 1366 CPUs are now yesterday's technology. if I were u I'd wait until Intel has a fix for the P67 chipset and get a Sandy Bridge proc. and mobo. Also unless u really need 2 TB of storage u should get an SSD for the OS and games and a 1 TB HDD for data and backup. It will increase ur performance a lot. Also u should get a better PSU because the GTX 470 uses quite a lot of power. Go for something like 700 or 800W.