No permits required for day hiking there.

Here's another hike out of Horseshoe Meadow: Trail Peak: Warmup / Acclimatization hike

Here's a map of the area. It's interactive, so you can zoom in or out, move around, and switch types (in the upper right corner) -- the best are t4 Topo High, t1 Terrain, and Satellite.   Map of Horseshoe Meadows area