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.he 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.