Easy Bistro is hands down one of the best restaurants in Chattanooga. Then, you can go up to the top floor of the Westin and sip a cocktail while looking out to Elder Mountain. There are tons of shops and other eateries in this area as well.
You can take the easy hike, or the longer hike from Point Park and see the sunset or sunrise from the top of Lookout Mountain. This hiking spot over looks the Tennessee River.