The development of multifunctional materials is essential due to the increasing demand for efficient energy storage and effluent remediation. In this study, a hybrid nanostructure comprising graphitic carbon nitride (g-C3N4) and Cu–ZnS was synthesized to function as a dual-purpose material for photocatalytic degradation and supercapacitor applications. The formation of a mixed-phase Cu–ZnS/g-C3N4 composite with both cubic and hexagonal ZnS structures was confirmed by powder X-ray diffraction (XRD). The uniform dispersion of Cu–ZnS nanoparticles over g-C3N4 sheets was demonstrated by scanning electron microscopy (SEM) and transmission electron microscopy (TEM) analyses. BET analysis indicated a 1.6-fold increase in surface area (148.16 m2/g) for CuZnS-GCN25 compared to bare CuZnS. Electrochemical evaluation showed that CuZnS-GCN25 delivered a high specific capacitance of 275 F g−1 at 1 A g−1, excellent cycling stability (92.5% after 10,000 cycles) and 70% capacitance retention at 20 A g−1 in a two-electrode setup. In photocatalytic testing, CuZnS-GCN25 achieved 92.4% degradation of amoxicillin (AMX) within 60 min under visible light, following pseudo-first-order kinetics with a rate constant of 0.029 min−1. These results highlight the potential of CuZnS-GCN25 as a high-performance, eco-friendly material for integrated energy and environmental remediation systems.