The CPU is the least of your worries. For "modern gaming" you'll need a decent video card, plus most gamers would recommend 2GB RAM.
eMachines is notorious for using crappy Bestec power supplies, so chances are, that will need to be upgraded to be able to handle the load of a gaming video card. I'm guessing that your board has an AGP slot? AGP cards are a dying breed so the best card available would be the Radeon HD3850...it doesn't get any better & probably never will. I just did a quick search & found one at Amazon.com for £138.81:
http://www.amazon.co.uk/Club-3D-385...
Tally it all up...CPU, RAM, video card, power supply. Is it worth investing that kinda money in a 3-4 yr old eMachines?
"And that's the fishing line, because Sharkboy said so!"