"A little girl and her new puppy get to know one another"--
As a little girl plays with her new puppy, they get to know one another. She learns how much work a puppy can be, but she also learns how to take care of it.
The hugely wugely spider tries to climb up the water spout like all the small spiders and, when he gets stuck, they help him out so when the rain comes, he tries to return the favor.