This implies the prof wants you to talk about the bureaucracies that actually did most of the governing.
I think she's more interested in Parliament vs Estates General.
Post Restoration England saw the gradual assertion of Parliamentary power, which really culminated with the Victoria in the 19th century.
You might want to note that with the first Revolution in England, then the rule of Cromwell, the Brits had had enough of war, so when William and Mary usurped her father, it was done with Parliament, and was a Revolution of the aristocracy and the bourgeoning middle class. This set the stage for the Constitutional Monarchy that rules Britain today.
Both France and England had been wracked by Civil War. The Fact that France was part of larger continent made it more vulnerable to outside interference. England's island provided it a little more room to fight out its Civil Wars. France was the opposite, as noted. Louis ascended the throne after the Regency of his mother, since his father died at an early age. She was always fighting off attempts by the nobles to take the throne away from her which she was holding for her son. Louis was determined to weaken the nobles and this he did by bringing them where he could keep an eye on them. Louis XIV brought in the aristocracy to Versailles where he neutered them(not really)and kept them from formenting trouble out in the countryside. The Estates General just became the King's rubber stamp.