Komi Can't Communicate, Vol. 1 by Tomohito Oda

[Viz] The journey to 100 friends begins with a single conversation. Socially anxious high school student Shoko Komi’s greatest dream is to make some friends, but everyone at school mistakes her crippling social anxiety for cool reserve. Luckily she meets Tadano, a timid wallflower who decides to step out of his comfort zone in order to help her achieve her goal of making 100 friends. Timid Tadano is a total wallflower, and that’s just the way he likes it. But all that changes when he finds himself alone in a classroom on the first day of high school with the legendary Komi. He quickly realizes she isn’t aloof—she’s just super awkward. Now he’s made it his mission to help her on her quest to make 100 friends!!