We hoped to go for a longer hike there, but it seems that there are no such hiking trails within the park. So in the end we decided to go on Alpine Pond Nature Trail, which I thought was really boring. Also, it was pretty cold there. It is not surprising if you realize that the park is located at more than 10'000ft (3'000m). So in case you plan on visiting it, take that into account.
Cedar Breaks Amphitheater:
Me at the Alpine Pond Nature Trail: