"You can own a printing press, but we'll throw you in jail if you dare to show the printings to anyone."

The first amendment is a two way street. Everyone has an inalienable right to seek and read/view any media, and the government of the United States is forbidden from taking any actions that limit the mass dissemination of media.

The whole context of the amendment is existing governments preventing people from mass printing and distributing political pamphlets. "You can write something, but not distribute it" is entirely antithetical to the point of the amendment.