That depends on your point of view.
Members of the EU are bound by rule TFEU207 and are prohibited from having their own bilateral free trade agreements with countries that aren't members of the EU, I can't post links yet but the europa dot EU website has that rule on it.
An independent country which has a free trade agreement with the EU can negotiate any number of free trade agreements with other countries.
We'll be exempt from a lot of other EU rules. The rules on state aid and monopolies covered in TFEU 101-107 will no longer apply either.
I agree, free trade with the continent is a good thing, but membership of that particular club is not the only way to have that. And considering we've been paying almost £8.5bn a year (post rebate and other returned monies), I think we can do better.
I have no regrets about the way I voted.
I know some would have a problem with what I'm about to say, but I would have no problem with the government rejoining EFTA and signing the EEA agreement (which has free movement in it). We would still be exempt from a large amount of EU laws.