No.
The media and many others said he was entitled to have his gun back once the not-guilty verdict was on. He was, until the DOJ put a hold on it as part of an investigation.
No report that I saw said he had actually claimed it. It might be that the DOJ notified the Sanford PD at once but didn't announce it. (Okay, that seems unlikely, but maybe they wanted to have the info dribble out to keep it in front of the reporters for longer.) It might be that GZ didn't get around to claiming it or that he has no intention of claiming it.
I claimed the gun that killed my father (it was his), but only to keep my mother from claiming it. The PD would eventually have contacted her to return it, she might have said "yes", and that would have been entirely unacceptable.