Why yes they do. If you Google this question, you get all these sites saying bees don’t sleep. I wrote about this on GWGT a long while ago, and I am always running across native bees asleep in or on flowers.
So when the weather gets warmer, go out into the garden very early and you too will see them napping away, legs tucked under or splayed, and antenna slouched or immobile.
I have many photos of sleeping bees, but only found two easily. I even have some tucked inside flowers, some even getting trapped over night inside dying pumpkin flowers.
Did you know bees of different ages have different sleep patterns? Young bees sleep for shorter periods at a time, but older foragers sleep longer and more regular because of the huge physical demand that foraging puts on them. Interesting, huh?