High quality quantum Hall bilayers at total filling factor 1 exhibit a strong zero bias tunneling resonance that is akin to the Josephson effect. Experimentally this resonance has a measurable width even at very low temperatures, indicating the existence of some low energy excitations with no analog in the single layer quantum Hall system. We exploit a simple model of the quantum Hall bilayer in which the relative phase of the electron wavefunctions in the two wells is the only degree of freedom to perform Langevin dynamics simulations of this system. Disorder is explicitly included in the model, which we find induces strings of overturned phase and vortices in the low state. This "string glass" state supports low-energy localized excitations which are typical of glasses, and qualitatively explains many of the existing experimental observations.