The sun is our nearest star technically because a star is a huge ball of glowing gas
I suppose you mean Barnard's star. That is one of the nearest stars to us, therefore, it is in our own galaxy, the Milky Way.
It is the nearest star to our solar system an in the same galaxy as us, the Milky Way.
The Sun
The nearest star to the Earth is the Sun, the nearest Galaxy is the Milky Way, the one we live in.
All stars that are named are within the Milky Way galaxy.The closest star would probably be in the Canis Major Dwarfgalaxy, our nearest galaxy.
The nearest and the largest galaxy to the Milkyway is the "Andromeda Galaxy."
The closest galaxy to the star Rigel is the Andromeda Galaxy (M31). Located approximately 2.537 million light-years away from Earth, Andromeda is the nearest spiral galaxy to our Milky Way. Rigel, a blue supergiant star in the constellation Orion, is part of our Milky Way galaxy, making Andromeda the closest significant galaxy in the broader cosmic neighborhood.
Not counting the Magellanic Clouds (which are minielliptical galaxies orbiting our galaxy), the Andromeda galaxy is the galaxy nearest to our galaxy.
The nearest Spiral Galaxy is our own Milky Way Galaxy. After that, is the Andromeda Galaxy.
The nearest non-dwarf galaxy is the Andromeda galaxy.
No. The sun orbits the center of the galaxy, not any star. Alpha Centauri just happens to be the nearest star system to our own.
No space probe has ever traveled as far as the next nearest star outside of our solar system, and there are 200 to 400 billion stars in this galaxy.