The semileptonic $B$ meson decays of the type $B \to X_u \ell \nu$ are important for measuring the magnitude of the CKM matrix element $V_{ub}$. Recent measurements of inclusive $B \to X_u e \nu_e$ and hadronically tagged $B^0 \to \pi^- \ell^+ \nu$ from the Belle II experiment are presented. The results are obtained using the data collected at Belle II between March 2019 and March 2020, with a total integrated luminosity of $37.8\,{\rm fb}^{-1}$. These preliminary measurements are used to validate the detector and reconstruction software performance. The measured preliminary branching fraction of $B^0 \to \pi^- \ell^+ \nu$ decays is $(1.58 \pm 0.43_{\textrm{stat}} \pm 0.07_{\textrm{sys}})\cdot 10^{-4}$, which is in agreement with the world average, $(1.50 \pm 0.06)\cdot 10^{-4}$.