Stargazing and the Milky Way are related but not quite the same thing. Stargazing refers to observing celestial objects in the night sky, which can include stars, planets, constellations, and other celestial phenomena.
The Milky Way, on the other hand, is our own galaxy—a vast collection of stars, gas, dust, and other celestial objects. When you look up at the night sky and see a faint band of light stretching across it, especially in areas with less light pollution, you're actually seeing the Milky Way galaxy edge-on.
So, while stargazing involves observing various celestial objects in the sky, the Milky Way is one specific astronomical feature—the galaxy that contains our solar system. Stargazing might involve observing the Milky Way among many other celestial sights!