To do this, start at Cheaha Lake, and take the Lake Trail up the mountain. This is a steep trail with lots of nice boulders at the higher elevations. (Other trip reports on this site give very good descriptions of this trail.) This trail will end near the top of the mountain, at a driveway where there are several rental cabins. Follow the driveway to the main road, and turn left. This road makes a loop that circles the summit.
Walk on the road around a sharp bend, and continue for about 1000 feet until you get to Campground No. 1. Turn right into this camping area, and walk straight ahead until you get to Campsite 5. Between Campsites 5 and 6 you will see yellow blazes on trees marking the summit trail. This trail is very new, and at the time of writing is not included on the trail maps, nor does it have a name yet. However, this trail is easy to follow and not very steep, and after about fifteen minutes of hiking, it will take you to the parking lot of the summit area. The total elevation gain between Cheaha Lake and the summit is about 1000 vertical feet.
When you rejoin the Lake Trail to return to the bottom of the mountain, the Rock Garden Trail branches off from the Lake Trail shortly beneath the trail head. (The Lake Trail is marked with blue blazes, and the Rock Garden Trail with red.) The Rock Garden trail is another good short side trip, and it will take you some rock outcrops with good views of Cheaha Lake in the valley below, so you can get a good feel for just how high you have hiked. The trail ends at another campground, at which point you can turn around and return to the Lake Trail for your descent back to the bottom.