Wrong.
The First Amendment protects you from being censored by government.
But free speech and censorship are broader concepts than the First Amendment.
Private entities can censor. And a few oligarchs who own most of media can effectively suppress free speech. And that's not good.
I know libertarians love to repeat the mantra "Only government can censor." But just because libertarian have been saying that for decades, doesn't make it so.
The libertarian concept is antiquated in an age where government funds almost everything directly or indirectly.
The libertarian concept is antiquated in an age where government funds almost everything directly or indirectly.