This "genre" is so broad it's not even a genre. And there are many instrumental bands. Would you like to start with guitar based music or it doesn't matter? If you haven't listened to anything with experimental mindset it's better you start with something at least 'rock' oriented to an extent
...like kraut-rock. It can lead you to noise, industrial, post-rock, electronic, whatever.
For example:
Neu!'s first album
Faust from
71 minutes of...
You can always search through this forum, listen to many youtube vids posted and see what appeals to you. And of course you can join our album club here