No, this is not the kind of volunteering you want. You want hospital volunteering that will allow you to see (and hopefully talk to) patients. Just moving supplies around without contact with doctors, nurses, or patients isn't really going to help you learn about the clinical environment or garner you any clinical experience. You would rather have non-hospital volunteer work like tutoring or helping at a homeless shelter instead of this. But that said - if your hospital allows volunteers who work for a while to shadow the physicians, then maybe you can try sticking around. You should ask the volunteer coordinator if there are any more patient-interaction opportunities for you.
Good luck!