Ops...sorry, the first is an adjective, the second is an adverb* If we accept the first (real) as adverb too, it becomes a great confusion. Shall we let confused people continue confusing us, the learners? :)

I cannot believe that I read all this. Real is real, really is really "really" : ) Over. As we know the first is an adverb, the second is an adjective! Why to confuse them and the learners? What do we achieve if we do it? Huh?