This joint resolution would amend the United States Constitution and give Congress the authority to set limits on "the raising and spending of money" to influence federal elections. States would be given the ability to pass legislation to enforce the amendment.
The resolution distinguishes between "natural persons" and "corporations or other artificial entities", which basically means the resolution draws a line between the right to free speech of actual people and organizations. Specifically, it authorizes Congress the authority to prohibit organizations from spending money to influence elections.
The resolution includes an amendment stating that it doesn't authorize Congress or states to use it as a legal justification to "abridge the freedom of the press." Basically, just because the resolution grants Congress the ability to limit the First Amendment rights of corporations spending money on elections doesn't mean it gives Congress the ability to limit the First Amendment rights of the press.