Changes in electronic structure of valence band and the corresponding dispersion dependences of the electron states of graphene synthesized by a cracking catalytic reaction of propylene at the surface of Ni(111) thin layers and subsequent intercalation of Au atoms underneath the formed monolayer of graphene have measured and analyzed using angle-resolved photoelectron spectroscopy. It is shown that this technique of graphene synthesis causes the formation of a monolayer graphene cover over large areas with feature of the electrobic structure typical for a quasifree graphene: a linear dispersion of graphene n states in region of the point K of Brillouin zone with the Dirac point localization near the Fermi level.It was estabilished that contact between the graphene monolayer and the intercalated Au layer additionally causes a substrate-induced spin-orbital splitting of graphene n states, which also occurs in the region of dispersion-dependence linearity.