No, its far more Byzantine than that, Grishka.

Basically WHO gets sold a firearm & IF someone can purchase a firearm, and IF someone one can get a concealed carry permit for a handgun and the safeguards regarding all of those matters - background checks, criminal record checks, mental stability checks & etc. are a matter of STATE law, enforced by the States. Federal law has nothing to do with it - there is no universal, nation-wide set of standards for any of the above.

Federal firearms legislation - such as it is - deals primarily with the type of firearm it is legal to sell or possess - the ban on fully automatic weapons without a special permit, the ban on mail-order sale & shipping of firearms without a federal Firearms License, & such like.

That's a very, very simplified description, but I think it gives the gist.

THIS may help.