There are actually two benefits to keeping bees. The first one is quite important; you're playing a small part in saving the world. Bees are the planet's great pollinators. They play a huge role in feeding many of the crops we eat including coffee and alfalfa, which plays a role in feeding cows. If there were no bees, we'd be facing a food shortage. Because of the over-use of pesticides in farming, bee numbers are under threat. Seriously, consider keeping some bees.
As for how to make money out of them? Honey. Lots and lots of lovely honey. Artisan foods are becoming increasingly popular alternatives to mass produced and sanitized produce, and your local honey start-up could really get your finances buzzing. Once the money's started rolling in, keep more bees and produce more honey. It may not be the most exciting hobby, but the boost to your income should take the sting out of the boredom.