Wireless internet works about the same as a wireless phone. You have a wireless phone in your apartment, but without the phone service from your local phone company, your fingers won't get too far in the yellow pages!
I'm assuming that what your wanting is "hi-speed" wireless. Without a local provider, I'm afraid your limited. You can still go wireless, but you will still be stuck with dialup, unless you can find a provider.
There are some up and comers that you might can check with, such as Boingo. I think they are limited to hotels and stuff though.
I currently use a dial up internet service and am looking into getting wireless internet for a laptop. I live in an apartment complex that has its own satellite system (Crossman Cable), and neither DSL nor high speed internet is available in my area because of this. Will this hinder my availability to get wireless internet? Someone had mentioned the possibility of getting a home router, but I'm not sure what that is or how the wireless internet works. Any tips will be much appreciated!