Does it count as research? Of course. However, from the way you described it, it probably isn't very strong research. Try not to think of your med school application as a giant check-list. Schools don't like it when all of your activities are short term or shallow. It doesn't have to be research, but make sure that you have at least a couple long term (at least a year or two) activities about which you can talk convincingly.
When rating applications, I was trained to toss applications like this one in the bucket: Once a week hospital volunteering for four months, soup kitchen volunteering weekly for three months, an overseas volunteer trip (2 weeks), treasurer of a pre-med club, a summer research internship (8 weeks), shadowing three doctors for 10 hours each, and participated in various fundraising activities for medical causes. They call them check-list applications, and my school at least really hates them.