No, not any major gaming anyway. The girl this is for is more into photo editing, and she works with some large images, so she needs enough VRAM so the image she's working on fits in the framebuffer.
Any gaming she does will be pretty basic. She plays UT2004, and the onboard GeForce 6100SE is a miserably choppy with it at her LCD's default resolution of 1440x900 , but it'll be fine with this, since UT2004 doesn't have too high requirements.