Park in the Hospital Rock parking lot and hike towards Buckeye Campground, unless you are already camping there.
Along the way you will see a diverse display of nature. A few examples of what you can expect to see are butterfly, manzanita, buckeye, yucca, and Castle Rocks.
Once you reach the campground look for site 28. At campsite 28 you will see a signed trail on the left. Follow that path and you will quickly see the river. Cross a footbridge and bear left heading upstream past pools and boulders. A short distance from the bridge you will come to Kaweah Falls.
The rivers in Sequoia and Kings Canyon National Parks are swift and dangerous. Always use caution when near the river.