I used to work there.
There is an infirmary, an urgent care, dental, dialysis, optometry on Stateville side. They also have the Northern Reception and Classification center, which has a psych infirmary, urgent care, receiving, and dental. Interesting factoid: Stateville is one of only two prisons in Illinois that has on-site dialysis.
Yes, you cross train for all assignment areas. Dialysis is handled by a separate contractor so you aren't trained on that.
Orientation is four weeks, unless they changed it. You would orient on all three shifts before going to your final shift.
There is a physician. Possibly another part time MD and a PA/NP, depending on if they have those positions filled. Someone takes call after hours for emergencies.
Regarding time for med passes,
. Depends on who you're working with and which med pass you're assigned to, as well as which shift you're on. I wouldn't describe it as "more than adequate," but it's entirely possible if you do the work and don't waste time. Wear comfy shoes and support socks.
Apply, take an interview, and go in and see it for yourself. It's the safest place I've ever worked and one of the most interesting.
On a completely unrelated side note, my internet browser's spell-check wants to change "Stateville" to "Evillest"