Do game that are unavailable in my region when gifted are available ?

Received Gifts have no regional Restriction.

Please improve your grammar, I cannot take it anymore.

there has been a lengthy discussion about that already, no need to repeat it.
(The first reply on that thread is false, though)
But as a short answer: yes.

Yes and I actually have Skyrim from friend. I can see it in my library (even news), still cant reach on store page though

Dead Rising 2 off the records is, for example, not playable from a german ip (or w/e).
But thats the only case I know of a game not being available.