There are definitely many other first year students who are feeling exactly the same way. Some of them have also started threads on CC. It takes more than a month to make friends. Some other students will look like they have made friends already, but after one month they won’t know the friends very well and are likely to change friends over time.
If you are introverted then you might find that you get along better with other introverted people. Some of them might also be having trouble making friends.
If you live in a dorm, then at dinner time you might want to knock on the doors of a few other students who live in nearby rooms and just ask “do you want to go to dinner”.
Joining a club is a good way to meet people. You say that there aren’t many clubs, and in general most of the clubs are likely to be of no interest to you, but you only need to find one or two that are interesting.
I used to attend international meetings with about a thousand attendees, most of whom I didn’t know. After a while I started at meals just sitting down next to someone who was sitting alone. In general this worked out quite well and might be worth trying. You probably are going to need to do this more than once before you start making friends.