The Local Void is one of the nearest large voids, located at a distance of 23Mpc. It lies largely behind the Galactic Bulge and is therefore extremely difficult to observe. We use HI 21cm emission observations from the SARAO MeerKAT Galactic Plane Survey (SMGPS) to study the Local Void and its surroundings over the Galactic longitude range 329deg<l<55deg, Galactic latitude |b|<1.5deg, and redshift cz<7500km/s. We have detected 291 galaxies of median rms sensitivity 0.44 mJy per beam per 44 km/s channel. We find 17 galaxies deep inside the Void, 96 at the border of the Void, while the remaining 178 galaxies are in average density environments. The extent of the Void is ~58Mpc. It is severely underdense for the longitude range 350deg<l<35deg up to redshift z<4500km/s. The galaxies in the Void tend to have HI masses that are lower (by approximately 0.25dex) than their average density counterparts. We find several potential candidates for small groups of galaxies, of which two groups (with 3 members and 5 members) in the Void show signs of filamentary substructure within the Void.