We climbed Gould from Kearsarge pass on 4/19 - the weekend before the most recent snowstorm. Lots of snow up there still - consistent snow from well below the first lake and all the way up and over the pass. We were considering camping on the other side by kearsarge lakes, but it was still under a lot of snow.
Snow conditions, as you can imagine, are poor in right now - and especially on the east side of the pass. Post-holing on nearly every step that was not in the shade. I'd highly recomend snowshoes, or bringing lots and lots of dry socks.
