I'd expect any decent CM to show you all their documents during the first meeting, mine certainly whipped out the folder with everything in.
I'd want to know...
What an average day entails - what playgroups does she go to, what do they do if there isn't a playgroup, what's the general structure with naps and food, what sort of activities do they do in the house
What sort of food she offers, including snacks, if you don't have to provide your own
What other mindees will be there at the same time
About her holidays, and any possible cover for sick days (that's not always possible and is most people's big downside to CMs, but some have agreements with other CMs for emergency care, we have used this once or twice and as it is a CM who goes to the same groups and that she's not a complete stranger and it has gone well)
Ask to see around the house so you can check for yourself what safety features are installed, and get an idea where your DC will be napping (that's a big one for me, check whether it is in a travel cot or on the sofa)
Some people like to check about telly if that is an issue for them. Me, I'm realistic and happily accept that the telly is on sometimes, ten minutes while she's getting lunch ready, when the older kids come in from school etc, but other people won't want the telly used at all
And about discipline, what she would do if your DC bit another kid at playgroup or something similar. You want to know you are roughly on the same page.
But for me, when we found out CM it was 100% gut instinct. She was warm, friendly, immediately wanted to hold and cuddle (then baby) DD, her family were welcoming and made it obvious that the whole family was onboard with mindees being in the house, and something just clicked. I knew at once that we would be very happy with her having DD.