I simply don't see it. Trump here and in other cases is going after specific figures that used to work for him or can be somehow stripped of access to government resources. It's shitty but not the same as a wider attack on free speech in the media and among the public.
All the opposite is widely the case, media of all kinds in the United States is voracious in throwing shit at Trump and his government. So far, (typical of this administration) several openly published, completely uncensored scandals have badly rocked the Trumpist boat and I don't see his government doing the least thing to censor or intimidate the publishers of very, very widespread news and opinion about said scandals.
The reporter at The Atlantic who was accidentally added to a secret cabinet-level group chat on Signal literally published the entire chat thread as part of his criticism of the new administration, mainly to showcase their mendacity in denying his claims. The bloback? It has been entirely aimed at the government's people. That reporter remains free, and publishing.
People who compare this government to seriously authoritarian regimes would do well to look at what quickly happens to reporters and others who rock the boat under genuine authoritarian repression.