Emilie Rubinfeld succeeds Francois Kress, who has left the company.
The combined eyewear powerhouse will have annual sales of more than 15 billion euros.
The shop at 12 Mercer Street will offer a small sliver of Gallagher’s fashion archives, with the rest available by special order.
Entertainment in recent years has included Florence + the Machine, Lady Gaga, Rihanna and Kanye West.
She has been named senior vice president and publisher of the Everyday Food and Whole Living brands.