Glenn Close and Andrew Lloyd Webber attend the 70th Annual Tony Awards on June 12, 2016 in New York City. She?s ready for her close-up all over again. Glenn Close will be returning to Broadway next year for a revival -- of sorts -- of the musical adaptation of ?Sunset Boulevard,? for which she won a Tony Award in 1995. ?Sunset Boulevard? will begin previews on Feb. 2, 2017 before officially opening Feb.