Have a look at the link above. It isn’t quite the same as your situation, but there are many good ideas about meeting people and that it’s very normal to not have friends yet. There are also a lot of threads in this forum about similar topics. Give it time, you will have friends.
I think for you and people like you, there is an expectation that you will instantly be surrounded by a lot of new freinds, but it isn’t like that in reality. Many people settle for the superficiality of these early friendships, but I think for people who are more sensitive it is harder to just accept the supeficiality becasue you have deeper friendships. Please make an appointment with the counselors at your school, if for no other reason to confirm that your feelings are normal and common.