hello calvinmc5;

That refurb ADVENT PC comes with an older Phenom X3 Processor 8550 2.2Ghz, 2GB RAM and Geforce GT 210 video card. It's OK for a general purpose or home entertainment PC but it's quite a weak gaming PC, partly due to the CPU and mostly because of the GT 210 video card.

Looking at the rest of the options on that site. For a bit less cost:
PACKARD BELL A2620UK with Athlon II x4 435 2.7Ghz CPU, 3GB RAM and integrated Geforce 9200 video. This video chip isn't as powerful as the Geforce GT 210 video card of the other option, but its good enough for home PC duties. The CPU and 3GB RAM make this a better option IMO.

If you're doing any 3D gaming you'd want to add a more powerful video card to either system.