Basically, the Americans reacted to this war by expecting more freedom and the British reacted by giving them less freedom.
After this war, the colonists expected to be able to do largely as they pleased. The British had generally let them do so already and now there was no fear of the French who had been driven out of North America. The British, however, wanted to control the colonists more. They wanted, in particular, to tax them and to regulate them so that they would provide more money for the British treasury. The British government thought the colonists should do this to help pay for the cost of the war.
These two opposite reactions were the cause of the problems that eventually led to the Revolutionary War.