Does Latvia Have a King or Queen?

No. Latvia is a parliamentary republic. It has no monarchy. The head of state is the President, elected by the Saeima (parliament) for a four-year term (renewable once). The President's role is largely ceremonial—representing the state, appointing the Prime Minister (subject to parliamentary confidence), signing laws, commanding the armed forces ceremonially. The head of government is the Prime Minister. Latvia abolished monarchy in 1918 upon independence; the last monarch was the Russian Tsar (as Governor-General of Baltic provinces).