  We prove that there is a unique Levi-Civita connection on the one-forms of
the Dabrowski-Sitarz spectral triple for the Podle\'{s} sphere $S^{2}_{q}$. We
compute the full curvature tensor, as well as the Ricci and scalar curvature of
the Podle\'{s} sphere using the framework of \cite{MRLC}. The scalar curvature
is a constant, and as the parameter $q\to 1$, the scalar curvature converges to
the classical value $2$. We prove a generalised Weitzenbock formula for the
spinor bundle, which differs from the classical Lichnerowicz formula for $q\neq
1$, yet recovers it for $q\to 1$.
