Yes, in fact whole Naama Bay is filled with restaurants, so you will be spoilt by choices. From Hilton Dreams the nicest way to get into Naama is to cross the street, go through Fayrouz towards the beach, turn right on the promenade and go straight. This is seaside promenade which will then lead you to the main promenade of Naama Bay when you turn right. If you like italian cuisine, Pomodoro is recommended. Also just after the Fayrouz (on the promenade), there is a restaurant called Tam Tam, offering pretty good lebanese cuisine (although not as good as Fairuz). For sushi there is Little Buddha. To try typical Egyptian food, Abou El Sid on top of Hard Rock cafe. If you like to smoke shisha or would like to try, Tche Tche on the main promenade has the best shisha in Sharm (try apple-mint, lemon-mint etc).

Have fun, Naama Bay is great. I would not stay anywhere else in Sharm.

If you would like to do some shopping, Old Market is considered to be cheaper than Naama Bay but still bargain as much as you can. You have to take a taxi, pay no more than 10 LE. There are also two nice restaurants in Old Sharm. Al Masriyin with egyptian food and pizzeria El Magnoum, which is a hidden gem, truly arabic pizza (it is not easy to find but ask people, they will show you the way).