The Roaring Forks Motor Nature Trail in Gatlinburg takes you to several interesting spots including Grotto Fall, Place of a thousand drips, old mills, etc.
The Deep Creek Area has lots of waterfalls and wildflowers should be in bloom.
Elk are in the Cataloochee section of the park.
Cades cove is one of the highlights of the park for many people. You get a look at the area before the park was established. Old cabins and farms. Catalooche also has the remains of the community that existed before the park.
Visit the NPS park site and get the trail map for places to see and hikes.
Take you rain gear because this can be a wet time of year.
Les