forget what those guys said. Even if you dont play games often, the few times you do play games you dont want to play with crappy graphics and poor performance. A good start would be an intel core i3 CPU, its perfect for general tasks like web browsing etc, and pretty good for gaming too. For a graphics card you should get at least an AMD 6770 or nvidia 550ti. If you want to play with higher graphics detail and 1080p resolution you should get a 6850/7850 or nvidia gtx560 or better, dependig what your budget allows.
Thanks for your response. Since I hope my new PC will last another 6 years or so I decided to spend an extra $100 or so to go with the i3 and a midrange graphics card