I've rented houses and apartments in France five times and have found that the kitchens are usually pretty well stocked with the basic pots, pans, dishes, etc. A couple of times I have bought a few items after I arrived, such as a rubber spatula, vegetable peeler, and wire whisk, and leave them there unless I like them well enough to take them home. I always bring a sharp knife with me (in my checked luggage) as knives in rentals are usually pretty dull. Usually, there is enough TP, papertowels, dish soap, laundry soap, etc. to last a few days. When it runs out I buy more -- some people may think you just call the owner for more, but this isn't hotel living. Smaller sized packages are usually easier to find in France than in the US. I leave anything that is left for the next renter. If I happen to break a wine glass or something similar, I simply buy a replacement. Some owners change extra for linens and I think that is because many European tourists must bring their own. One thing you will probably find to be different is the level of lighting. Bedside lamps are usually small have have low watt bulbs (now CFL's). I always find it hard to find a good reading lamp in the houses I've rented. Be sure you get good instructions or using the appliances. In one house, I preheated the oven and when I was ready to use it I couldn't get the door open. There must have been some safety feature that needed to be overridden in order to open it, but I sure couldn't figure it out. I'm just glad that I didn't have a cake in there!
Renting a house in the country or an apartment in Paris will always be my peference over staying in a hotel.