During his tenure as Speaker of the Florida House of Representatives, Webster received recognition and awards from a number of organizations, including the American Heart Association for support of AHA priority issues (1996), the Board of Regents Legislative Award (1995), the Florida Association of State Troopers Leadership Award for Excellence in Legislative Leadership (1996), the Florida Banking Association Award (1995), the Florida Chamber of Commerce Legislator of the Year (1995), the Florida Farm Bureau Legislative Award (1995), the Florida Hotel and Motel Association Special Recognition Award (1995), the Florida League of Cities Quality Floridian (1995), the Florida Medical Association recognition award (1996), and the Republican Party of Florida Statesman of the Year award (1995).