That's even more pathetic than hiring a hooker. No, I don't particularly get aroused at the thought of a cute girl playing a video game with me. That's basically what this would be, right? It's not hard to find dudes to game with you. The only reason you'd pay for a girl is if she's turning you on.
I can imagine some guys would be into it though. You should develop the idea and see where it goes. Hell, I might even try it if she could "train" me at becoming better at a particular game that I enjoy, but that alone would be impressive.
What I'd rather see happen is incorporating more women into gaming. They don't have to be paid. I want to see more women playing video games and enjoying it, not getting paid to play them.