Rather than meaning “superb conductivity”, superconductivity is a specific electronic state of matter in which the conductivity drops to zero at a certain critical temperature, and magnetic fields are “expelled” from the material. In conventional (low-temperature) superconductors, this is caused by formation of electron pairs (Cooper pairs) that behave as bosons. There is no established mechanism for unconventional (high-temperature) superconductivity.
In any case, the present study does not mean that graphene is a superconductor.