Does the First Amendment give the press a "special immunity from the application of general laws"?

Branzburg v. Hayes (1972) 408 U.S. 665, 92 S.Ct. 2646, 33 L.Ed.2d 626 the United States Supreme Court held the "First Amendment does not guarantee the press a constitutional right of special access to information not available to the public generally." ( Id. at p. 683, 92 S.Ct. 2646.) The press has no " special immunity from the application of general laws, " nor does it have a " special privilege to invade the rights and liberties of others. " ( Ibid. )