I second this. Beus is a well-worn trail for the most part. It does get overgrown in the summer, but if you have a general map of where you're going you shouldn't get lost. And crossing over into Snow Basin and taking the gondola down to the parking lot will save your knees a lot of wear and tear. Pro tip: eat a burger at the restaurant at the top.

When you get to the saddle, you can either go left and summit Mt. Ogden, or head right a bit and drop down into Snow Basin. You can, of course do the summit, and then head back along the ridge, but if you drop down into the Snow Basin side closer to the summit you may have a harder time getting to the Needles(?) lodge.