it won't be as powerful as really powerful gaming rigs but more powerful as most average pcs and even many pcs of people who also play with it from time to time.
i think one big advantage of pc against ps3/360 was that those games run almost only in 720p or below and that is really not that great if you sit so clos to a screene to really see that. with next gen, many games will probably run in 1080p on ps4 and since most pc gamers will also only play in 1080p for the next years this big advantage is gone. one more very important thing for me is anti-aliasing and this will be much better next gen.
you will still have the possibility to play games in a even higher resolution and more frames on pc but that is really only something very few pc gamers will do.