What are Queen Bees and want to Bees?

The phrase is spelled, "W-A-N-N-A-B-E" with no spacing and no extra E. A Wannabe is someone that wants to be someone or something else. It is a derogatory comment, a put down. Example: She acts like a movie star wannabe.

A QUEEN BEE is the head of the hive! Basically, she gives birth to the hive's bee-babies and all the worker bees keep her alive and protect her.

If you meant the terms used by Rosalind Wiseman to describe teen society in her book 'Queen Bees and Wannabes' (this is a play on Words, so, yeah...), then Queen Bees would be the popular teens, while Wannabes would simply mean people who WANT TO BE like them.

PS--of course you CAN spell it wanna bees in order to illustrate the pun.