Oddly enough, bees are supposedly a great reliever of stress. There's something about bees that calms a human's central nervous system. They are very sensitive to the way a person behaves. Are they telepathic? Hard to say; the bees aren't talking.
The calming sensation of being around bees aside, beekeeping is probably pretty low on the stress meter. Once you've become accustomed to dealing with bees on a daily basis, the only major stress you probably deal with is whether or not your honey will sell, your bees will flee, or if you develop a sudden allergy to them.