Room oder apartement for two months in uppsala

Hej there,
a few days ago, I have been spontaneously accepted vor an internship at a highschool in Uppsala. Now I am looking for somewhere to stay from end of October to end of December.
I am from Germany and study my master degree to become a primary school teacher. In my free time, I love to read and go on a run.
I have never been to Sweden before and I am very curious to explore Uppsala and its region. Also, I look forward to meet new people who cann help me get through the „cold and dark Swedish winter“ everyone has warned me about ;)
I am looking for a room oder a one-room-apartement and due to the short notice, I don‘t really have anything else I wish for :)
If you have any tips where I could stay in Uppsala, please let me know. My internships starts in less than three weeks so the time is kind of pressing…