No , You wont be getting Fee waiver by college if you get CSSS (Central Sector Scheme of Scholarship for College and University Students),you can get only either Fee waiver by college or CSSS scholarship as one of the eligibility condition includes that a student should not be availing benefits of any other scholarship scheme such as state run scholarship schemes/fee waiver and reimbursement scheme.

So choose wisely which gives you maximum benefit and make sure to contact your college administration.

Hope this helps.