Im not entirely sure but here is what I've found out...

Beryl runs acceptably well on a GeForce 3/i855/Radeon 7500, 256MB of RAM, and a 1.2GHz processor. It also works best with Xorg 7.1 and requires a recent version of Mesa. (http://www.beryl-project.org/faq.php#gq5)

With the pc you are trying to buy, im sure you will be able to run it but im not sure whether you can run it at full spec..if not you can always buy a graphics card (not top of the range but still good ), those graphics card are cheap now these days as there are a lot more powerful ones available on the market...

Regards