Council is a group noun. It refers to a group of people elected or chosen to make decisions or give advice on a particular subject, to represent a particular group of people, or to run a particular organization.
For example: "The local council has decided not to allocate any more funds for the project."
Counsel can be a verb, which means to give advice, especially on social or personal problems.
For example: "She counsels the long-term unemployed on how to get a job."
Counsel can also be a noun, which means advice.
For example: "I should have listened to my father's counsel, and saved some money instead of spending it all."
Thanks to Daniel Hugo