The head of state of Canada is Queen Elizabeth II. She is federally represented by the Governor General, who performs ceremonial, constitutional, and state duties on the Queen â¦ 's behalf. Currently, the Governor General is David Johnston.The political leader of Canada is the Prime Minister, who is Canada's head of government and chairs the federal Cabinet. Currently this position is held by Stephen Harper of the Conservative Party of Canada.he head of state of Canada is Queen Elizabeth II. She is federally represented by the Governor General, who performs ceremonial, constitutional, and state duties on the Queen â¦ 's behalf. Currently, the Governor General is David Johnston.