How do I share my apple music library with my family

All you can do is share a playlist with your partner. Each persons Apple Music account will have their own content and music suggestions. The only way the content would be the same is when using the same Apple ID on multiple devices. My suggestion would be to create a playlist on your Apple Music profile using the instructions below. You can then choose who you want to view the playlist.

How to share an Apple Music playlist on your iPhone or iPad - Apple Support

As long as you have the Family Subscription to Apple Music, all you need to do is to start a Family Group by following the instructions to set up Family Sharing that was viewed on the top of this screen. Once you have a group of family member in the plan, you are able to share your subscription. In addition to the Support Article from above to set up Family Sharing, this support article may help you with sharing a subscription.

Add a family member to your shared subscriptions - Apple Support

If there is a step in this process that does not seem to be working for you, then give more details on if you have Family Sharing set up already or if there is a specific step that is giving you trouble.