Here's what you can do around the Abundant Shrine:
* Find a hidden item: There's a hidden item behind the shrine, which is a White Herb. To get it, you need to use Cut on a tree just to the right of the shrine's entrance.
* Catch some Pokemon: The surrounding area has a few Pokemon to catch, including Audino, Lilligant, and Munna.
* Train your Pokemon: There are a few trainers in the area you can battle to gain experience.
The Abundant Shrine itself is mainly a landmark and a visual spectacle, but it doesn't have any actual gameplay interactions.