We're still pretty free on those issues. A permit is required to buy a Handgun, but it isn't an actual license, it just states that your Sheriffs Dept. checked your criminal record. Long Guns don't require a permit, but the dealer has to call the ATF before the gun changes hands. The last time I bought anything from a dealer, everything was over and done ith in about 15 minutes.
We are also allowed to own fully automatic weapons, but the cost of the license, and the amount of red tape involved is more trouble and expense than its worth, in my opinion.
I got a chance to shoot a 50 round clip through a legally owned Mini-Uzi once. The thing was uncontrollable. And the experience also left me with the full realization of how stupid Hollywood is with their portrayal of machine guns in movies. Those 50 rounds went through that gun so fast, I thought it had jammed.