In the past, royal children led extremely cloistered lives.  They were raised by nannies, schooled by private tutors, and rarely if ever had any contact with "commoners."

That began to change with the current Queen, Elizabeth.  She grew up in a relatively modest house in London, and had what could be considered a fairly normal childhood.

And what for the new royal baby.  William and Kate are known for being somewhat casual, and many expect their child-rearing style to reflect that.  

The Atlantic's Olga Khazan has delved into the history of royal children, and shares some history, and some predictions for the newest generation of royals.