One way to gain leadership skills is to obtain a leadership role on your school’s campus. You could be a Resident Adviser in your residence hall, or a president of a club you are involved with. You'll learn how to work with a team, mediate conflicts, and communicate better with others in these roles.
You could also think about taking a leadership course. Your school or a local organization might offer classes or seminars on leadership, and enhancing skills related to leadership such as speaking and writing.
Remember that you can build leadership skills even when you aren’t in a position of authority. Whatever job, club, or team you are a part of, challenge yourself to work on projects beyond your job description. You will learn new things, and others will notice when you take the initiative to start new projects.