The explanation pretty much says what they expect.
Make sure when doing your gates you push away not towards you and keep your hand on the gate.
When working your calf out don't go in team penner style and blow everything out. Keep your eye on your calf and follow him out calmly it will make holding him easier and your horse calm. Do it at a walk if you can.
The way they want you to rope is so team roperish.... a good ranch roper sits up straight and doesn't lean forward...so whatever..
I don't know how much roping you've done but dally counter clockwise without looking at your horn! And make sure you give your self enough room to get the brush around the barrel, so make a larger circle with your pony. The length of rope between your horn and the brush should be- not close enough it's banging on his hocks and you don't want it so long that you need forty acres to get it around the barrel.
I would really practice at home dragging stuff of your horse, dallying, popping your dallies(pull straight up from the horn, don't "un-wind", it takes too long and if you get in a wreck it's easier) Practice roping a dummy off of your horse, it is different roping off a horse than it is off the ground.
Sounds like fun though!
I DON'T LEAD 'EM AND FEED 'EM, I RIDE 'EM AND SLIDE 'EM.