He appears when SpongeBob is shown asleep because Mr. Krabs accidentally lulled him to sleep.
His name is a pun on the name "Barry."
SpongeBob once called him "SpongeBear Jr."
Beary is the first toy SpongeBob wins from the skill crane, but he then wins a duplicate version of him when demonstrating the best crane technique to Squidward. The duplicate then suddenly disappears.