If you break a Beehive or Bee Nest without using Silk Touch, nothing will drop.
If there were Bees inside it, they will remain inside when it drops. To move a Beehive or Bee Nest, you will need to break it with a Silk Touch enchanted tool.
Once placed, you can’t just break it if you want to move it to another place with all its Bees. A Beehive full of Bees represents an infinite source of Honey and Honeycombs that you don’t want to lose.