We performed GGA+U calculations on the [email protected] material for 6.25% and 12.5% Ru concentrations using Wien2k code. We have added Hubbard values 0, 2, 4, 6 eV to the GGA and electronic properties were corrected for U = 6 eV. We investigated various parametric quantities including bulk modulus, cohesive energies, lattice constants, formation energies, electronic and optical properties. The Ru 4d- and N 2p-states were responsible for tuning the electronic properties due to p-d hybridization. The effect of Ru doping introduces magnetism into the GaN. The optical absorption spectra were blue shifted while the dielectric constant and refractive index were increased with increasing Ru concentrations, implicating the potential applications of the [email protected] material for the UV optoelectronics and photonic applications.