A group of 11 of us summited this past Monday. Because we had so many, we split up into smaller hiking groups during the day; so the notes below were based primarily on my observations. I completed the hike in 2015 on almost the same date, so have a dry year as reference. Most of our group was not experienced with snow hiking; but we were all in good shape heading in.

Since some other good trip reports have been posted the last few days, I won't go into a ton of detail except for the parts that we were most concerned about heading into our trip:

Time on Trail:
We were on trail at 2:20am and finished around 5pm. I'd say the snow and water added around 90 minutes compared to a 'normal year.' You spend quite a bit more time taking gear on and off and some of the snow trekking can be a little slower at first if you are not used to it.

Water Crossings:
As others have said, there is quite a bit of water on the 1st part of the hike.
We took the Old Whitney Trail to start and finish, which I would highly recommend to save the 1st large water crossing (which we looked at later in the day as we were finishing and it was booming)- No sense getting your feet wet that early in the morning.
We all took extra shoe's/sandals for the water crossing to save our boots from getting soaked.
On Monday at least, all of the logs were intact, it looks like they had very recently replaced one which had fresh tool marks on the top.
A lot of water around Outpost camp, we made the mistake of thinking that we were done with it and switched back to our boots, just to find a final creek crossing before the climb up to Mirror lake area; which was frustrating to have to change back to our cold shoes/sandals again to cross (especially as big mosquitos were feasting on us). So keep water shoes on until you are sure you are climbing up towards Mirror lake area.
We then hung wet shoes on a tree to dry out during the day to pickup on way back. However, somebody stole one pair of shoes, so you might want to keep them hidden; we were very surprised by this... very bad Mt Karma for however did that!
There are some other swampy areas higher up, but you can scout around a little bit to keep boots dry.
Especially if you skip the 1st water crossing by taking the old trail, none of them seemed sketchy to cross, just very cold before 4am...
On the way back down, most of use just walked through water with boots; the cold water felt good on swollen feet and you aren't too far from the bottom at that point.

Snow:
Obviously a lot of snow still on the trail and even with the melt, I'd guess the switchbacks will be covered through mid-July at least.
Most of us had micro spikes and ice axes. One just had poles and it was possible, but I'd say an axe is highly recommended. And while the spikes were probably more convenient in parts, I think we would have been more comfortable with crampons for the chute, but it is possible with spikes.
As others have said, I'd recommend to hit the chute early because it gets slushy pretty quick. We hit it a little before 7 and the conditions were fine to start but by the time we were towards the top (around 90 mins later) it was quite slushy and more difficult to get traction (especially in spikes).
I won't offer much technical advice since I'm not qualified but a few things stood out to me. 1- Do what you can to follow good kicked in steps even if you have to traverse a little bit to get to them. It can save quite a bit of energy. 2- Concentrate as you are going up to make sure you have 3 solid points and have a plan if/when you start to slip. 3- Keep a steady pace and make sure you remember to drink lots of fluids on the way up. Since I was fairly uncomfortable on the climb, I didn't drink near enough for the amount of exertion so ended up pretty dehydrated near the summit which isn't a good situation to be in. The climb up will burn up your legs pretty good and arms some too since you are using muscles a little differently than normal hiking movements. Drink water and eat food or you'll pay for it later. 4- Our glissade down in the early afternoon was pretty slushy which we were fine with us since it seemed to keep the speed down. I tried to keep it slow going down which worked fine but took quite a bit of effort. Others hit some higher speeds and ended up fine but obviously a little more risky.
Trail Crest is clear of snow outside of a patch right at the base of the final push to the summit. You can scramble up to the right of that patch. It's not a lot of fun since it's steep, a little loose, and you might be a little burnt from the chute, but at least it keeps you out of more snow.

One nice thing about all the snow is that it seems to keep the wear and tear off of your feet and knees since it knocks out quite a bit of granite walking on switchbacks and around trail camp

I guess the long and short of it for somebody with no snow experience... the chute is certainly doable but pretty intense. Keep it slow and safe, use common sense, and stay hydrated and fueled up on it. Try to enjoy the unique experience and don't forget to look around and take in the beautiful surroundings.

I hope this post is helpful. Our group appreciated all the previous posts that people have been making. It gave us a good feel for what to expect on the trail.

Good luck and safe adventures!