You are mainly going to be limited by your integrated Video. As it is not (I assume) a laptop, it is unlikely that the integrated Video will be nVidia or ATI based which is a fairly common requirement for most current games.
You might need to invest in a powerful video card to get the full range of games...
For instance I have the following.....
3.0GHz P4 (2MBCache, 800MHz FSB)
2GB (2 x 1 GB TwinX) Running Dual Channel (4,4,4,12)
Powercolour ATI Radeon X800GT 256MB
19" LCD Widescreen
.....and my main limiting factor is the video card (6 parallel pixel pipelines instead of 12). So as such I can only really play (for example) F.E.A.R. at a max res of 1280 x 800, and even then I get some realy low FPS in some areas.
I can play BF2 at 1024x768 at maximum settings (unfortunately no widescreen support)...
So really to play most current games you are gonna need a good video card. But, alas, that is just my opinion!
Hope that helps!