Canada is a constitutional monarchy with parliamentary democracy, as well as being a federation. Canada's particular Parliamentary system is referred to as a Westminster Model..This model was first developed by the British and is named after the Palace of Westminster, which houses the British Parliament.s a constitutional monarchy, Canada's Head of State is Queen Elizabeth II. The Queen is the head of the e … xecutive, legislative, and judicial branches of government. She is federally represented by the Governor General of Canada, and advised by the Queen's Privy Council for Canada.