Well, first off, welcome to the gang! We're all here because we want to sing well
And the best way of singing well is to sing as often as you can - your voice will improve with use. In my opinion this is best done in the context of choirs whether you're a beginner or fairly experienced. Sight reading, keeping in tune and fitting your part into everything else that's going on are all developed by doing this.
As you're at uni, there will probably be any number of choirs going on. Go visit a few of them, find one where you like the people and join in.
Your range sounds like you'd be more comfortable singing alto at the moment. However, when I was a student, from that same comfortable range and a few notes either side if I stretched, I sang 2nd soprano a fair bit, and even tenor when there was a desperate shortage

. I got a bit of a reputation for being prepared to sing anything with anyone, and was popular because I would turn up on time for rehearsals and learn my music in the meantime -
these are attributes that will earn you a welcome in any choir. And the more you use the notes at the edges of your range, the bigger your range will become.
Go for it, and good luck!
cheers
Katyjay
ps - if you subsequently decide you want to start lessons, you may find from your new choir contacts a music student who'd be prepared to teach you - it's something that happened to me, but I didn't have the courage to take the offer up

. Took me another fifteen years to get round to having lessons - and they've been the best thing I ever decided to do

pps - it's
never too late to join a choir. The lady who sits next to me in my main choir is retired and a grandmother, and our choir was the first she'd ever joined. But she's really enjoying it, and her voice has come on a huge amount in the year and a bit she's been with us - she sings out with real confidence now. Go for it!