I'm going to take your question to be about Yosemite Valley as that what you asked.
Camping is only in the campgrounds just like in summer.
Camp 4 is a walk-in campground. Doesn't fill up in winter. $5 per person.
Upper Pines is a car campground. Doesn't fill up either. $20 for the spot I think.
Cell service is not great but OK for voice, terrible for data. You can pay for Wifi at Yosemite Lodge.
Yes, there are plenty of people around, but not nearly as many as in the summer.
A couple of campgrounds stay open year round, and so does the Ahwahnee hotel and Yosemite Lodge with restaurants, the visitors center is also open.
Highway 120, 140 and 41 into the park from the west are open year round. If it has snowed there will be chains required. You are always supposed to have chains in your trunk to enter the park in winter. 120 through the park, aka Tioga Road, closes for winter.
Speaking of snow, there is much less of it than you might imagen. In the valley the snow looks pretty right after a storm, but much of it melts down in a few days. Opportunities for good skiing or snowshoeing in Yosemite Valley itself are unusual.
There is an ice skating rink with view of Half Dome open December through February.
Badger Pass is the skiing area of Yosemite, it's a couple of thousand feet higher than the Valley so it has more snow. They have down hill, cross country, lessons, equipment rentals and so on. A free bus leaves from Yosemite Lodge in the morning and returns in the afternoon. Badger Pass is open late December through March depending on snow.
If there is not much snow you can hike instead. Yosemite Falls trail is south facing and often largely snow free for much of the winter. The classic Vernal and Nevada falls trail has a winter route that stays open. And all the flat trails around the Valley itself are nice as well.