There are studies that music is distracting.
That being said music stimulates other part of the brain more, then the ones you need for drawing and the question is if you are casually listening to it.
While it's possible to work next to music, just being aware of the fact that it distracts you is good to know.
Generally I don't listen to music whenever I do something which needs my full attention (initial drawing steps, solving core issues like perspective, proportion or lighting, roughing out animations...)
If I listen to music, then in the detailling phase, when an artwork "just takes time", but all big problems were solved before.
Regarding to what you should listen to: Whatever genre you like. Whatever fits your mood.