That's exactly what my dog did! But he didn't get stung. The girls were still tired from the move to their new home. Now, however, he gives them some birth, or at least, isn't interested anymore. I think he's gotten stung a couple of times--running barefoot through the clover, ya know.
That reminds me, he likes to... eat bees. Yes indeed. If he finds one dead or dying in the grass, he'll eat it. When I was cleaning dead bees off of frames last week, he was snacking on them. Now, I know dogs and bears are related, but I didn't think he'd start in after my bees!