Not quite. The right has always existed in common law, and has been exercised by many over the centuries without prosecution, including recent times. What is being proposed clarifies what are believed by many to be unhelpful ambiguities in the statute law, which have led to some well-publicised hard cases in recent years. Had the facts of some of those cases (such as the notorious Tony Martin case) been replicated, I'm told that the householder would have been in serious trouble in more than one US state jurisdiction.
Maybe that would be true in a couple of the most compromised US States, like, say, Massachusetts or New York, where, in addition to other considerations, your gun's "papers" must be in order. In general, no.