The first thing you have to do is cross the stream that runs down from the glacial lake below Paddy Peak. The stream is below in a gulley between where you parked and the rocky moraines. If the water level is low or there is still a lot of snow, you can cross at any point. Otherwise you can walk up towards the glacial lake which is situated right at the base of the rocky face of Paddy Peak and hop across the rocks there.
Make your way over the moraines to the steep ridge next to the rocky face which leads up to the summit. This is the steep, direct route up to the top. An alternate route may be to circle around the full ridge above the glacier.
The route is steep but straight forward as you climb up the rocks. If there is enough snow, the route is even easier and you can just climb straight up. You will know you've reached the summit when you get to a Yukon Amateur Radio Association
(YARA) repeater station (note that YARA and other groups refer to this mountain as Mount Panacea, but that there is no official name). Going down is easy if there is snow, otherwise the rocks can be slippery.