Abstract: The Belle II experiment collects data from electron-positron collisions with a centre-of-mass energy close to that of the Y(4S) resonance. The experiment has been designed primarily to study B-meson produced in Y(4S)->BBbar decays but there are significant studies of charm hadrons, tau leptons and spectroscopy as well. This talk will focus on non-flavour area of Belle II's physics programme: low-multiplicity physics, i.e., final states of electron-positron collisions with only a few particles. This part of the Belle II programme has two distinct components. The first is the precision determination of e+ e- -> hadron cross sections over a wide range of centre-of-mass energies; this wide range of energies is accessed using events with initial-state radiation. These hadronic cross section measurements are the limiting factor in estimating the hadronic vacuum polarisation (HVP) contribution to the anomalous magnetic moment of the muon (g-2) via dispersion relations. Given the various tensions between different estimates of the HVP contribution, Belle II will provide much needed additional information. The most important process to measure is e+e- -> pi+pi-gamma, with only 3 particles in the final state. The second component of the programme is to search for beyond-the-standard-model particles that couple weakly to the standard model, the so-called dark sector. Belle II has world leading sensitivity to some proposed dark-sector particles in the mass range of 100 MeV up to approximately 10 GeV. These dark sector signatures generally have only one to four visible particles in the final state. Both these low-multiplicity aspects of the Belle II physics programme will be introduced.