So my laptop just broke and I'm looking at some new ones. I'm mostly interested in just running GOG games, as I don't want it to be too expensive. Does the laptop on this page look like it will run the high end games (Painkiller, Far Cry, etc) on GOG?

http://www.newegg.com/Product/Product.aspx?Item=N82E16834200061&cm_re=dell_inspiron_15-_-34-200-061-_-Product

Yes. It can even handle modern games if you choose a combination of medium resolution and medium settings.