I don't think a $50 tuneup will handle it. There is a chance the grease has hardened inside the hubs, cranks, and steering. Once you learn how, check at least the front wheel.
The oil creeeps out of the grease, leaving thickener. It's especially bad if the bike has sat. However, I feel you could get by with a tuneup if you oiled the hubs, crank, and steering frequently. It really needs new grease but provided your components aren't sealed, oil will do.