TCastillon, we get the concern over not paying for the same Apple Music service twice. It's the same subscription at the end of the day, it all depends on whether you want to pay for Apple Music on your Verizon Wireless bill or have it charged via Apple directly.
Please reference the link attached under "General Apple Music Information" Question #5 to cancel your subscription through Verizon Wireless. http://spr.ly/6607E0yVD
If you choose to cancel your Apple Music subscription via Apple directly, you can do so here: http://spr.ly/6601E0yVH
Does this provide clarity?