Hi Inez, welcome to permies!
That sounds like a win-win situation to me! You get to garden and your parents get a maintenance free yard
You say you are interested in native plants, so you might like to look at this link:
Native edible plants of North America Unfortnately it is not sorted by climate zone, but may still be useful for you.
If you are thinking for the long term, consider the mature size of the trees and other plants and how they will interact with buildings and other surroundings. Think about what is there now and how it might change with succession (lawn -scrub - forest). Other things to consider:
What is the soil like?
What budget do you have for plants?
What do you and your parents like to eat? There may be a place for apple trees and rhubarb as well as unusual edibles!
What about paths and places to sit?
One of the things that drew me to permaculture was the 'lazy gardening' aspect, but laziness does take some planning!