Quarkonium and charm at Belle II

We present recent results from the Belle II experiment related to quarkonium and charm physics. With data samples collected by Belle II during operation of the SuperKEKB collider above the $\mathrm{{\rm Y}}(4S)$ resonance, we study the processes $e^{+}{e}^{-}\to \omega {\chi }_{bJ}(1P)$ ($J=0$, 1, or 2), search for the bottomonium equivalent of the X(3872) and measure the exclusive cross sections of $e^{+}{e}^{-}\to B\bar{B}$, $B{\bar{B}}^{\ast }$ and $B^{\ast }{\bar{B}}^{\ast }$. We also propose a new algorithm to determine the production flavor of neutral $D$ mesons. Finally, we report on a measurement of the ${\mathrm{\Omega }}_c^0$ lifetime.