There's actually a way to do it all online too, without using a paper application. First, you need to register with the FCC and get an FCC Registration Number (FRN), that can be done here:
https://svartifoss2.fcc.gov/coresWeb/publicHome.do
Then, u can log into the Universal Licensing System using your FRN here:
http://wireless.fcc.gov/uls/
Once you do that, simply click on the "apply for a new license" link and follow the directions. The license code you are applying for is RR - Restricted Operator. You pay the fee online using a credit card and you'll get it in the mail within a few weeks.