My uncle wants to give me a building plot. I'm married with joint ownership. Will my husband have any rights to the property?

Yes, in principle. When spouses adopt the regime of universal community, all movable and immovable property owned by them on the day of adoption of this regime, and all that they acquire subsequently, are held in common (art. 1526 C. civ.), with the exception of property that is private by nature as defined in article 1404 of the Civil Code (unless otherwise stipulated). 
Assets donated or received by inheritance are therefore destined to become part of the community, unless the spouses have included a clause excluding them.
You should refer to your marriage contract to see whether such a clause has been included.