Oh my goodness! You sound just like me! I don't normally reply to these things, but this is legit.
No, I think it's totally normal that you feel depressed. I remember last year (M1 year), I would want to cry at times because I was so lonely. Then, oddly enough, I would dwell so much on my loneliness that was terribly unproductive with my studies. I consequently would have to stay in on the weekends and try to catch up, further exaggerating my loneliness and boredom.
Here's what I found helps out a lot:
1) Be around people throughout the day. I've always been a huge home person before medical school. After class in undergrad, I would always go to my apartment and relax/study with the bf. At medical school, I would continue to go home after class, but of course, no one was there. As much as I hate studying at school, it really does help to be around people. And if I feel like getting away from the dark and dismal lib, I go to a cafe or park where's there's a lot of people around.
2) SKYPE CONSTANTLY! I saw a few other people saying this, but I skype with the bf for hours. A lot of times, we do our homework together, not saying a word. Other times, we'll both be watching a football game together, bonding by yelling at stupid plays and calls. Or he'll take a nap while I'm making dinner, and I just yell at him when he needs to wake up. It's sounds weird, but seriously, doing this, it's like weren't not a 2.5 hr plane ride apart.
3) Any chance to go out, go out with people. Even if you don't know them well, go to a place that serves a little EtOH, and being the wonderful social lubricant that it is, I'm sure you'll be friends in no time.
4) Get involved in a lot of extracurriculars where you don't have time to think about how lonely you are.
I've been dating my bf for four years and he goes to school 1200 miles away from me. Due to our busy schedules, we only see each other every 2-4 months. After I started doing these four things last year, my productivity soared, I was happier, and although my loneliness will never fully go away, it was numbed very well. Simply stated, just keep yourself occupied by being around people and skype! It will all work out!😎