The statement that is true about the government of Puerto Rico is: it has three branches of government.
Puerto Rico has an established government that operates with three branches: executive, legislative, and judicial.
As for the other statements:
- Puerto Rico does have its own constitution, which was adopted in 1952.
- The President of the United States does have authority over Puerto Rico, particularly in matters of federal law and policy, although Puerto Rico is not a state and does not have voting representation in Congress.