The Nuclear Spectroscopic Telescope Array (NuSTAR) mission, launched on June 13, 2012, is the first space-based focusing high-energy X-ray telescope.  NuSTAR operates in the band from 4 -- 79~keV, extending the sensitivity of focusing far beyond the ~10 keV high energy cutoff achieved by any previous X-ray telescope.   NuSTAR's first science targets included the black hole at the center of the Milky Way and its surroundings,  massive black holes in AGN, as well as stellar mass black holes.   I will present preliminary results from these observations, highlighting the new information provided by sensitive high-energy X-ray spectroscopy.