it's only a week, it's fine to be nice to help her settle.
Write clear instructions and ask her to do her own laundry (or to do hers with the kids laundry, it depends how economical you want the house to run. Some people don't want a full load for a couple of tshirts and a pair of trousers for example).
Asking if she wanted tea when I was making my own tea
that's just normal!
But by all means, write she cleans her own dishes when she doesn't eat with you!
I don't know how old she is, but they are often young, not used to different houses and lifestyles, don't speak the language that well.
A clear and very precise written list is the easiest way to tell them
sometimes you do need to write: give breakfast to kids (x,yz food), then clean all dishes, wipe table, clean underneath table, clean surfaces, rinse and dry sponge!