How can I transfer my apple music already on my apple device to this Samsung tablet?

If you want to enjoy your Apple Music on an Android device, you have to download the Apple Music app from the Google Play store and sign into your Apple ID. Once you sign in, the same library you see on your Apple devices should be available on your android device. The songs won't be locally stored, but you can still download them for offline use. See: https://support.apple.com/en-us/HT205365

Apple music is not owned by the user. You are renting it.