As a note, this route is less of a run, and more of a technical, rocky, ascent. From Upper Boy Scout Lake, you'll see the obvious chute. Stay on the left side of this chute for as long as you can to avoid falling rock and then ascend the upper portion of the chute. Once you top out at the shoulder, you'll either head up a class three section for the final 400 ft, or continue along the trail that wraps around the back side to where it joins the John Muir Trail. Choose your route wisely based on your experience, as the summit can be reached both ways. You'll top out on the summit plateau, and you have made it! Enjoy the view, you earned it!
Reaching the top of this route is only the halfway mark, and you'll have to get back down. You can either retrace your steps, or descend via the John Muir Trail.
For more detailed information on this route, be sure to checkout the Mountaineer's Route listing on Mountain Project