What do you mean by 'real'? Both race and gender are ultimately social constructs. They are 'real' only in the sense that we take and understand them to be 'real'.
WHAT THE HELL? There are some people around here that I would expect to say something as stupid as this, but not you. Race and gender are social constucts? That's crazy talk. I can almost see an argument for "race", but that's only because "race" might not be the best word to describe the differences in genetical makeup of the various "breeds" of homosapiens. It's not "social constructs" that make my dog a female Lab, it's scienctific constructs. There is a difference between a female Lab and a male Poodle just as there is a differnce between a male Pygmy and a female Armenian. There is more than a social difference between those two people.
(I guess you can backpedal and say EVERYTHING is a social construct. 2 + 2 = 4 only because we all agree it does, thus it's a social construct. But if that's your point...yippee..you might as well have said the sky is blue and water is wet.)