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We investigate the boundary layer problem in viscous electronic flows in gated graphene. Recent experiments on graphene hydrodynamics indicate the emergence of non-Poiseuille behavior, a feature that we reproduce with direct numerical simulations of gated graphene electrons. In fact, the velocity profile displays a maximum value close to the boundary and then decreases as it approaches the bulk. By taking into account the compressibility of the electron fluid, that arises from the dependence of effective hydrodynamic mass on the number density, we derive a generalized Blasius equation governing the transverse velocity profile, in excellent agreement with the simulation results. Evidence of a non-monotonic profile and further deviations with respect to incompressible (classical) hydrodynamics may shed some light on the subject of non-topological edge currents in graphene.