We hired our first ever DH when my son was 6 months (nearly 11 months ago), so I completely understand your feeling uncertain about how to set things up initially. Don't worry! As you and she develop a rhythm it will all sort itself out. We set some very basic ground rules around my son being priority #1, the number of days we will ask her to cook (never Fri-Sun) and general cleaning things we would like done, but left the precise timing of everything open and allowed her to sort out what makes sense to do when. As to 1-4:
1 & 2: No but we are very relaxed about taking breaks and working only when there is work to do. My son has a long nap (very rarely less than 2 hours, today will be 3) and she has a break and eats then. I take him to all of his classes/playgroups so on many days part of that time will also be a break for her. Our DH sets the cleaning schedule, so on the days she irons or vacuums (also when we are out), she won't have as much of a break. Other times when we are home and she doesn't have specific work to do and I haven't asked her to watch my son while I do something else, she may sit in her room and read while I play with him in the living room. He will inevitably wander to the kitchen/her room at some point and play with her for a few minutes and then come back to where I am etc.
3: No - she is welcome to but we never eat meals at the same time. I usually grab leftovers for lunch and eat at the computer. We have dinner after she is off duty (usually 8-10pm after my husband comes home from work).
4: She does all of the meal planning/cooking and most shopping and is welcome to anything in the house but we also give her $600 food allowance so she has flexibility. On nights she doesn't cook (Fri-Sun), she will often get takeaway if she is watching our son while we go out or otherwise eats out with her family/friends. We always do my son's bedtime routine so if she will watch him after we go out, she will usually run out for takeaway while we do his bath and put him to bed.