From the suggested parking spot and coordinates provided in the trailhead description, head east to ESE up the tundra slope that will have plenty of wildflowers in mid-summer. The side of the mountain quickly steepens to a difficult angle as you head up through clumps of dense grass and a multitude of flowers. There are any number of ways up, so choose your own, but this is how we did it.
"We crossed one shallow gully that shielded even more flowers and kept hiking up toward a saddle near what we thought might be the high point. We gained nearly 1,300 feet in about an hour and reached the saddle with what appeared to be a high point about 30 feet above us in either direction. We scrambled up both to ascertain which was highest and once upon the true summit, sat down for a break. As we rested upon the summit, we could hear the bleating of a large number of sheep in the distance, across the valley. After watching closely, we finally spotted the herd to the west on the high tundra slopes and moving over a low ridge. They were so small from our vantage point; they appeared to move in mass, like a creamy white substance slowly flowing across the green tundra. To the east of us and across the valley, we could see a shepherd’s camp at the end of a faint one-lane road, with at least two tent-like structures and to our surprise, several port-a-potties. Now here's some interesting government regulation for you. There are several hundred sheep, leaving their droppings littered all over creation, but the two (?) shepherds are required to have a port-a-potty?!"
"One other thing that occupied our attention was whether or not we had reached the correct summit. We knew that we were higher than anything else immediately around us, but to the southeast, along the same ridge, we could see one other summit that appeared almost as high. ON the USGS, this is maked as Pt. 13,053. So we carefully studied our location and compared our height and came to the conclusion, this had to be the true summit. You may want to hit this other high point for good measure.
After your summit break, head back down following much the same route as you ascended. The descent will go quickly on the grass and tundra. On the way down, we passed by a small, level area with a little bit of snow left and some vivid clumps of paintbrush that we paused to take pictures of. On the remainder of the trip down, if you like to photograph wildflowers, you may find several more opportunities to stop.
Links to other information, routes & trip reports for this peak that may be helpful.