You've pretty much hit the nail on the head. From my experience anyway.
First time you go you'll be shown the basic stance, the basic punches (straight punches, uppercut and hooks) and the basic kicks (thai roundhouse kick and front kick/teep). You might also be shown the basic elbows (cross, uppercut and downwards) and the basic knee (straight knee). After that you might be shown onto a punch bag to get some practice, or train with a partner holding a pad. Someone should be correcting your technique anyway.
From there you'll just gradually pick up or be shown more advanced stuff, but the basics are practiced constantly, they're your bread and butter. Evasions and blocks should be practiced a lot too, it's the only way they become instinctive.
I started sparring after a month I think. Just lightly, boxing only. Gradually building it up to include knees and kicks too. Sparring is an excellent way to learn I think.
During one of our classes we'll get to the gym, most of us have a bit of a warm up before the class officially starts. When it does start we have a proper warm up- Maybe rounds of skipping with exercises (press ups, crunches or whatever) or shadow boxxing in between. Then we'll maybe be shown a new technique (maybe new, maybe an iteration of one, depends how long you've been there I guess.) and practice that. Then we move onto pad work- one person holds a pad and their partner punches/kicks/knees/elbows it. You can go slowly to concentrate on technique, or if you have the technique you can push yourself to condition yourself. Then, if we've time, the more advanced will do some sparring to put all of that into practice. I guess we
should have a warm down, but we never seem to have time...
My gym don't condition shins any "unnatural" way- rolling or hitting them with objects. We just kick heavy bags and pads. Over and over and over...
If you've not been to a Muay Thai class yet, then go. And stick at it, 6 months down the line you'll be amazed how far you've come.
