Terahertz (THz) technology has received increasing attention from researchers worldwide in recent years, especially regarding efficient dynamic modulation devices for THz waves. A hybrid THz metasurface modulator combining monolayer graphene with a dual-metal ring electromagnetically induced transparency (EIT)-like structure is proposed, capable of modulating the EIT-like effect and possessing the advantage of polarization insensitivity. The electromagnetic properties and modulation capability of this modulator device are analyzed through simulation. The results indicate that the dual-mode EIT-like structure forms an EIT peak at 0.565 THz with a transmission of 0.66. Under the modulation of graphene, the modulation depth of the hybrid metasurface EIT peak transmission reaches 44.9%, and the group delay modulation depth reaches 22.8%. Simulation results validate the effectiveness of the hybrid metasurface for modulating EIT-like effects. This hybrid metasurface modulator holds promising applications in THz communication, slow-light modulation, and other fields.