Using density functional theory-based first-principles calculations, the effect of surface hydrogenation on the structural, dynamical, electronic, and mechanical properties of monolayer washboard-gallenene (w -gallenene) is investigated. It is found that the dynamically stabilized strained-monolayer of w -gallenene has a metallic non-magnetic ground state. Both one-sided and two-sided hydrogenation of w -gallenene suppresses its dynamical instability even when unstrained. Unlike one-sided hydrogenated monolayer w -gallenene (os-w -gallenene), two-sided hydrogenated monolayer w -gallenene (ts-w -gallenene) possesses the same crystal structure as wgallenene. Electronic band structure calculations reveal that monolayers of hydrogenated derivatives of w -gallenene exhibit also metallic non-magnetic ground state. Moreover, the linear-elastic constants, in-plane stiffness and Poisson ratio, are enhanced by hydrogenation which is opposite to the behavior of other hydrogenated monolayer crystals. Furthermore, monolayer w -gallenene and ts-w -gallenene remain dynamically stable up to relatively higher biaxial strains when compared to borophene. With its enhanced dynamical stability, robust metallic character, and enhanced linearelastic properties, hydrogenated monolayer w -gallenene is a potential candidate for nanodevice applications as a 2D flexible metal.