That uses an Intel GMA 4500MHD integrated video chipset. I would strongly suggest looking for another computer. The money you would spend on the laptop would also allow you to build a much more powerful desktop.
I would not recommend a single-core processor for someone looking to build a machine today. Even if it could run GW flawlessly I would say to go for a decent quad core if you want a processor you won't have to worry about replacing for quite some time, and a good dual core processor at the very least.