We took no snowshoes, but snow covered the trail for the last 1/4 - 1/3 of the hike. When you enter snowfields and lose the official trail you can look up and see the lookout to your left (West, I think). We made our way to the lookout over snow - not really following the trail for some of the time. It might help to have poles, but we didn't have any. I'd recommend a weekday if you plan to stay at the lookout overnight, however a friend was there over a weekend recently and found it empty. We brought a tent just in case. The snow is likely keeping hikers away - we saw a number of climbers though. The view from the lookout is amazing in all directions - if you plan to stay overnight, hopefully you are not a clean-freak. The place is not exactly hotel-like. : ) Also, although we had perfect weather during the day, it was fairly windy and rained overnight with some distant lightning which made sleep more difficult. Just remind yourself that the building has been there a long time.
Also, be prepared as the bridge is out. Old shoes and towel was recommended at the trailhead, but we made it over without wading. Bring bug spray as well. They weren't terrible, but spray was necessary for us.