You can do that fine. On your Adobe ID you can have Photoshop. On the other person's Adobe ID they can have all apps - but only they will see it. You CANNOT
- share an Adobe ID
- see anyone else's Adobe ID info
- manage or cancel a plan for anyone else
- transfer a plan to someone else.
It sounds as if, though, you added all apps to your account. Not to the other person's account. If that is the case cancel it immediately, Adobe MIGHT refund it so the other person (not you) can purchase it. On the other hand, if you did sign up for the year for your own use, you might have to pay for it all...