Abstract: Graphene has attracted considerable attention in recent years due to its unique physical properties and potential applications. Graphene quantum dots have been proposed as quantum bits due to its unique properties. Here we report a circuit quantum electrodynamics (cQED) experiment using graphene double quantum dot (DQD) charge qubit and a superconducting reflection-line resonator (RLR). The demonstration of this capacitive coupling between graphene qubit and the resonator provides a possible approach for mediating interactions between spatially-separated graphene qubits. Taking advantage of sensitive microwave readout measurements using the resonator, we measure for the first time the charge-state dephasing rates for charge states in graphene DQDs. To demonstrating the scaling probability of the hybrid system, we report an experimental demonstration of two graphene double quantum dots (DQDs) coupled over a distance of up to 60𝛍𝐦, through a microwave resonator. We further characterize this nonlocal coupling by measuring the correlation between the DC currents in the two DQDs. This correlation is observed to be strongly dependent on the average photon number in the resonator. Our results explore T-C physics8in electronic transport, and also contribute to the study of non-local transport and future implementations of remote electronic entanglement.