Komi Can't Communicate Vol 1

Komi Can't Communicate by Tomohito Oda. A Comedy manga rated Older Teen, published in English by Viz Media.

Shoko Komi is the most admired girl at her high school, but she has severe social anxiety and can barely speak to anyone. When ordinary classmate Tadano discovers her secret, he decides to help her reach her goal of making one hundred friends.