Is reality real? I don't think that's a meaningful question. All an individual can do is evaluate the information that comes to them through their senses, and try and predict what they will experience in the future, depending on various courses of action that that individual might take.
So in this predictive process we form models, representing what we believe the world around us to consist of. Before the development of quantum theory it was believed that if we had enough knowledge about a certain domain of reality, (reality defined as that domain that we model in our minds, to which our predictive processes may be applied) then we could predict to a very high degree of accuracy certain aspects of that part of reality. For example we may have thought that if we know the "position" and "velocity" of a set of particles which interact, we could predict exactly the behaviour of these particles.
Quantum mechanics gives us a different model of the world from the one which we're used to. One in which concepts such as "position", or "momentum" are slightly different. Saying that a particle is in two different places at once needs no longer bother us after we have realised there is not really such a thing as "position". And "energy" and "mass" are again just concepts, which we use to model the universe. They are only useful insofar as they can make predictions.
In quantum mechanics one can assign to various objects mathematical functions, which represent our knowledge about that object. These functions represent the probablities of gettting certain results when one observes the objects further. I don't think that this ideas of "parallel universes" is something that can be proven or disproven, but if it helps you to understand the theory, you might imagine that at the point of observation the universe splits into universes in which each of these observations were made.
The interesting thing is that different observers who have made different observations have different mathematical functions representing (each's model of) reality. Hence two observers may, to each other, be in a state of quantum superposition, even though they are actually both conscious beings. Whether they exist in parallel universes, or questions like whether we can know if other people are conscious or not, are questions which are impossible to answer, and it is questionful whether they are meaningful. (Depending on how you define meaningful...)