Turn that damned music down, you’ll deafen me (=make me unable to hear)!
In general when you pay attention to a person or thing that you can hear, you listen to them. However, you hear events such as concerts or talks which happen in public.
Be quiet, I’m listening to the news/your mother/ some music.
We’re going to hear a heavy metal rock group at the National Exhibition Centre.
What you hear is a sound. A noise is an unpleasant, unwanted or loud sound.
Strange noises of tapping and rustling came from behind the wall.