Shoes are important since you might want off at some point. Floating flip flops are ok for light duty. I love low profile surf booties but wave walkers would work.
I love the sun but take a towel or two. They come in handy as sun protection on legs & shoulders. When it's really hot, they can be wet.
In colder weather, nothing beats a light wind suit for protection from cool wind and water. Large enough to put fleece under them if it's really cold.
Hat.