Legally, something is allowed to call itself "Unix" if it goes through an expensive certification process by X/Open. So no, FreeBSD is not Unix, they wouldn't dream of squandering the little cash they have to go through a multi-year certification that is obsolete the moment they get it (one change, start over). On the other hand, all the BSDs are direct decendents of the original Unix source code from AT&T, hacked beyond recognition by a horde of enthusiasts from all over the world. So yes, FreeBSD is a (genetic) Unix. In the same way, Linux is not Unix, neither legally nor genetically. But Linux was conceived as a faithful workalike of what Unix is all about (it closely follows POSIX), so, yes, Linux is also Unix.
Confused enough? ;-)