Note that it can be really hot here during the mid day. The bare concrete floor of the square reflects heat and it can be quite difficult to stand here under the sun. So try to plan a trip either early in the morning or in the evening hours to walk around and really appreciate the place. After dark, the square and even the eagle sculpture are illuminated with lights and the place really looks gorgeous.
If you are looking for some respite from the sun and also like to go for lunch, a good option is to walk down to the Eagle View Seafood Restaurant. It's accessible from the same road that has access to Eagle Square and at a short walking distance. The restaurant serves nice seafood but can get a little busy as many tour operators take a break here for lunch.