you can measure with capacitance-voltage in solution if you can get a relative big size graphene, please refer to my article "Semiconductor properties and redox responses at a-C:N thin film electrochemical electrode" at Diamond and Related Materials, Diamond and Related Materials
Reza, Fermi level is refer to the level of vacuum. If you use semiconductor-electrolyte way, then you get the value referring to the reference electrode. Just a bit remind.