We visited Amicaclola in March and Appalachian Trail thru-hikers were definitely beginning their treks.
The full “height” of Amicalola is actually a series of cascades. The view from the top isn’t all that great (unless you’re admiring the views of North Georgia). The falls are better seen from below.
There are several trails in the State Park. Most of them surround the falls and connect them to the visitor center (below) and the lodge (above). There is also the Appalachian Trail approach trail which connects to Springer Mountain.
It’s right around 600 stairs from the top of the falls to the reflecting pool / trout pond at the bottom.