The Milky Way is still evolving. The accretion of gas and stars from our surroundings in the Local Group continues to shape and build the Galaxy. Multi-phase gas flows play essential roles in cycling baryons and metals through the Galactic ecosystem and fueling the Galactic gas supply. In this colloquium I will review recent work on the gas flows around the Milky Way, based on UV/optical absorption-line observations from HST and VLT, H I 21 cm observations, and hydrodynamic simulations. After introducing the use of high-velocity clouds (HVCs) as tracers of Galactic inflow and outflow, I will discuss the Galaxy’s cool nuclear outflow and the giant Fermi and eROSITA Bubbles found on either side of the Galactic Center. I will then discuss the gas content of the Magellanic System, which is interacting with the Milky Way and slowly transferring large amounts of gas to the Galaxy. This will include new results on the LMC’s gaseous halo and the distance to the Magellanic Stream.