Can you play minecraft online if you've bought it for xbox?

I bought minecraft for xbox.
All I want to do is play hunger games.
Is there a way since I bought the game, can I play it on the computer?
If not does anybody know how I could play a popular HG server for free?

Nope not really. You can gather a bunch of friends and "play" the hunger games in someone's game, but it is not exactly what you are thinking about.

No sorry and minecraft xbox edition doesn't have servers

No, no you can't. Although, why would you want to if you bought it for the X-box?