Yes, it really is that easy, no knowledge test to take. You can also get one online from the FCC, at fcc.gov, click on Universal Licensing System (ULS). You have to get an FCC registration number first (FRN) then use the CORES system to apply for the permit. You can even pay the fee online using a credit card. It arrives in your mailbox in about two weeks. I have several FCC licenses and this makes it very easy to manage and renew them. The paper application is a beast of legalese as described above.
I don't advise doing this process over a dialup or other slow connection-the ULS is a Java app, and when you first use it it downloads the app as well as the Java runtime environment. It took 2-3 minutes over DSL, so it's a lot of data.