Southern Yukon is a tectonically active region that has experienced several earthquakes greater than magnitude 6 in recent history including a magnitude 7 event in December 2025. Despite being a tectonically active region, its seismic hazard remains poorly characterized compared to other parts of Canada. Yukon's capital Whitehorse is susceptible to shaking hazards from large, distant earthquakes generated by the Aleutian subduction zone and moderate earthquakes from nearby active faults. Ground shaking hazard from earthquakes is impacted by effects from the source, the path, and local geology. In particular, local site properties can amplify and resonate seismic energy, impacting the intensity and duration of ground shaking. In this work, we use passive seismic recordings to characterize the seismic properties of the sediment at multiple sites in the Whitehorse area. Frequency-wavenumber beamforming is applied to ambient seismic noise recordings to extract surface-wave dispersion curves, which provide constraints on sediment rigidity and subsurface structure. The dispersion curves are used in a probabilistic inversion to obtain 1D shear-wave velocity models and their associated uncertainties. These models are then used in earthquake hazard analysis to evaluate site resonance, ground motion predictions, and uncertainty quantification for each site. Sediment characterization is important for understanding seismic wave amplification and resonance, as well as secondary hazards such as soil liquefaction, and landslides. This research advances our knowledge of earthquake hazard for an understudied region and provides more information for the national seismic hazard model, contributing to geohazard mitigation for northern Canada.