There's really not much you can do that most other applicants have not done already; namely the FEMA ICS courses, which are typically required for employment regardless. The next step up is paramedic, and that is a massive step compared to EMT-B. Unfortunately for us, at UCD there are a TON of EMTs walking around because there are 2 EMT programs in Davis and 1 in Woodland that are attended mostly by UCD students, so thats over 100 new EMTs every quarter. I've even met a surprising amount of paramedics that are also students. It's tough to get started too, if you don't have money lying around, because the costs for your drivers license, state and county certs along with the livescan fingerprints really add up fast. It was about $500 total on top of the cost of the class.
As you will hear on the forum, these days EMT's are a dime a dozen, so it becomes very difficult to find a job. If you're just looking for something to improve your med school app, you're better off putting effort into volunteering at one of the student run clinics (Shifa, Paul Hom, Willow), or trying to apply to EMRAP at UCDMC, your EMT might give you a slight edge there, although it still is quite competitive. Just having an EMT license or even working as an EMT isnt that great of an app booster. Check out the EMT threads SDN if you wanna know more about that.
I'm looking to apply for PA school, so paid patient care experience is a must for me, so I dont have much of a choice. I graduated with an EXB degree, so I had a far easier time finding a job as a cardiology tech than as an EMT. Its a tough job market, but if you have enough time, you'll eventually get a job. That being said, you could do a lot of other great things for your app with that time.
Good luck! If you have any other questions, feel free to ask. Its refreshing to see another Aggie on this forum.