Hold on to your rainbow wig — gay icon Cher will perform at the annual Dance on the Pier at Hudson River Park’s Pier 26 on June 30, during New York City Pride weekend. The “Strong Enough” singer will perform a new single, “Woman’s World,” as well as her club hits. The diva, 67, just recorded a new album and released a documentary about her mom, Georgia Holt, on Lifetime. Cher was scheduled to sing live last night on the season finale of NBC’s series “The Voice.”