Indeed, in 1957 Her Majesty Queen Elizabeth II inaugurated the present Clubhouse. Later, in 1972, Her Majesty and Prince Philip, while on an official visit to France again came to the SAC to inaugurate an extension to the Clubhouse on the 16th of May.
There is a slide show of the 1957 event as a preface to the article on the History of the Club, which also has a photo of Her Majesty and the Prince touring the grounds in a car in 1972.