My daughter and I reached the summit of Mt Whitney on June 24th, at 11:06 AM
The trail is in great condition, portal to hut. A lingering patch of snow against the wall at the cables, and a bit more in two of the switchbacks, very firm on our way up, at about 7:30 am, and soft, as expected, on our way back, at about 1:30 pm. There's also a patch of snow on the back side, after the windows, but in my opinion, if you just watch your step, you should be able to walk on it with no special equipment.
Beautiful weather, really warm. We only needed a sweater, or a light jacket most of the way up from Trail Camp, but other than that, it was short sleeves and shorts all the way. The night temperature at trail camp couldn't have been below 40,and there was very little wind.
The only unfortunate thing was the very high amount of wag bags left over, pretty much everywhere. Most of them on Trail Camp, but we saw a few on the switchbacks, and farther up the trail, beyond the JMT junction.