The actress and the art consultant - who married in an intimate ceremony earlier this month - have decided to stay close to their Montecito home and are spending a romantic few days at the Post Ranch Inn where they are enjoying views of the Pacific Ocean off the Saint Lucia Mountains.
The couple - who are expecting their first child together - have so far been very low-key and have been spotted enjoying romantic walks together while dressed in casual clothes.
After tying the knot with Will, Drew spoke about her wedding, saying it was "perfect" and she how couldn't have wished for a better day.
Drew - who has been married twice before - said: "The day was perfect. Everyone we love and care about was there. It was as fun and meaningful as we ever could have hoped."
The 37-year-old star - who had been dating Will for around 18 months - wore a flower-embroidered Chanel gown designed by Karl Lagerfeld, which showed off her ever-growing baby bump.