This article explains how to create a YouTube Music playlist and find public playlists on the site. Instructions apply to YouTube.com or the YouTube mobile app for iOS and Android.
How to Create and Edit Playlists in YouTube Music
Go to YouTube.com in a web browser or open the YouTube app on your mobile device.
If you're not already signed in to your Google Account, select Sign in in the top right corner and enter your credentials to sign in.
Find a video you want to add to your playlist and navigate to it.