The government is restrained from making any rules that prevent or limit free speech by way of the Constitution, Supreme and appellate court decisions, and statutes further defining the First Amendment.
And by virtue of speech being protected at the federal level, it will also enforce the First amendment on behalf of the people by making sure federal broadcasting license holders, owners of property that allow the general public to pass, and state and local governments comply as well by allowing free speech in those and other venues. So it can prevent other entities, governments, their agents, and agencies from abridging free speech rights.