The electronic surface states and dielectric self-energy profiles in CdSe colloidal nanoscale platelets are explored by means of an original ab initio approach. In particular, we show how the different coatings deeply modify the quantum and dielectric confinement in CdSe nanoscale platelets. Molecular coating leads to an electronic band gap free of electronic surface states as well as an optimal surface coverage. The reduced blinking in CdSe nanoscale platelets is discussed. The theoretical method here proposed allows one to go beyond the popular empirical description of abrupt dielectric interfaces by explicitly describing the nanoplatelet surface morphology and polarisability at the atomic level. This theoretical study open the way toward more precise description of the dielectric confinement effect in any hybrid system exhibiting 2D electronic properties.