Mesh
This part works with UsdGeom, UsdMesh, e.t.c.
Get mesh from prim
mesh = UsdGeom.Mesh(prim)
Get face and point information
vertex_points = mesh.GetPointsAttr().Get()
vertex_counts = mesh.GetFaceVertexCountsAttr().Get()
vertex_indices = mesh.GetFaceVertexIndicesAttr().Get()