Success!

Silly knobs.

I checked over the manual a bit more and found that the problem was with the knobs. I had the SQL and AF knobs mixed up so my volume was all the way down and squelch was all the way up. Not going to hear much that way.

Once I had that figured out, and turned off all the fluorescent lights in my apartment, I was able to tune in a few signals. I've found that the keypad on the front is a bit sensitive on a few numbers (8 especially) making manual entry a bit troublesome, but not totally impossible.

There's still a lot for me to learn about this radio.

I still need to think about how I'm going to set up an antenna (and what kind) I can use for broadcasting. With a Tech license the bands we can use is pretty limited, so my choices should be pretty limited as well. Carl (WA0RLY) suggested a G5RV antenna, but that thing is over 100 feet from end to end and my apartment is only ~50 long. There's got to be a better, and more compact, option...