Like others have said, you still have tons of time to turn your GPA around. I tanked my first semester of college pretty hard but have worked my a** off since and now have a GPA I'm very happy with.
The reality for you is that super prestigious med schools like Harvard, Stanford, and so on are probably off the table. But there are LOTS of MD programs that like to see upward trends in GPA overtime. A 3.38 after freshman year is by NO MEANS a nail in the coffin. Lots of people experience the shock of college and living on their own for the first time during freshman year and their GPA reflects that. It's how you respond from this point on though that med schools will really be paying attention to.
The key things that helped me turn around was my change in study habits and confidence. I found a system that works for me and I've stuck with it since. I studied everyday for at least a few hours (including weekends), and as a result felt more comfortable with the material when exams rolled around. I knew I was going to slay the exams because I'd prepared for it so thoroughly and for so long that there was no way I'd miss enough content to get lower than an A.
For you OP, don't worry about not getting in to med school and all that other stuff. If you focus on the here and now, and do the best you can, everything else will fall into place.