The Baikal-GVD neutrino telescope is a cubic-kilometer scale neutrino detector being constructed in Lake Baikal. Presently the detector array consists of 14 sub-arrays (clusters), including in total 117 strings holding 4212 optical modules. The telescope's sensitive volume for high-energy cascade detection has reached 0.7 km${^3}$. In this report we discuss status of the detector and present first physics results obtained using the data collected in 2018 -- 2024. This includes a diffuse astrophysical neutrino flux measurement using cascade-like events, with a statistical significance exceeding 5$\sigma$, and first hints on the diffuse astrophysical flux in track-like events. We also discuss Baikal-GVD results on the Galactic neutrino flux, as well as searches for point-like neutrino sources.