Bonneville Shoreline Trail Advancement Act This bill modifies the wilderness designations of certain lands in the Uinta-Wasatch-Cache National Forest in Utah. The bill designates approximately 334.16 acres in the Uinta-Wasatch-Cache National Forest as part of the Mount Olympus Wilderness. The bill also removes the following lands in the Uinta-Wasatch-Cache National Forest from designation as wilderness: approximately 19.06 acres in the Mount Naomi Wilderness, approximately 197.4 acres in the Mount Olympus Wilderness, approximately 9.8 acres in the Twin Peaks Wilderness, and approximately 107.9 acres in the Lone Peak Wilderness Area. The lands removed from designation as wilderness shall be managed as part of the forest.