Please read this. The whole thing, because it has some helpful updates. http://talk.collegeconfidential.com/college-life/
I think you have done amazingly well so far. Please banish the thought that you are pathetic from your mind. Stop comparing yourself to your friends. They are not you.
Is it seven weeks, or months, btw? You say both. Not sure if you were admitted for winter/spring. It can take the whole year to settle in. Again, read the linked post. Regardless, both are normal.
Ask a good acquaintance to go for a coffee. Just be casual. “I feel like getting a coffee. Want to grab one with me if you aren’t busy?” Or ask someone what their summer plans are, and see where the conversation leads. Volunteer, join clubs, get a part time campus job. If it’s too late to do some of those things this semester, do it next semester. Keep up the good work.