To the left of Pegasus is the constellation Andromeda, which contains the Great Andromeda Galaxy.
M31, as the galaxy is also known, is the most distant object visible to the naked eye and covers as much of the sky as five full moons put together.
Andromeda was a mythical princess, the daughter of Cepheus and Cassiopeia, whose constellations are found nearby.
To find the Andromeda Galaxy, you need fairly dark skies away from city and suburban light pollution. Follow Alpheratz to Delta Andromedae and then to Mirach. To the right of the second-brightest star up from Mirach is an oval smudge of milky light.
The light of the Andromeda Galaxy, which you're seeing now, took more than two million years to reach your eye.