You can expect to either bring or purchase your own personal care items - shampoo, body wash, etc.
Most vacation rentals are considered "self-catering" that is, while there may be some items either provided by the owners or left by previous renters, you are expected to bring/purchase most items yourself. For example, there may be one or two garbage bags or dishwasher tablets but if you are having a longer stay, you may have to purchase more.
I usually have a combination pack/purchase list and I always wait until I have been to the house to buy anything so I can assess what I really need.
I usually pack: Baggies, Dishwasher Tablets, Laundry Pods, Dryer Sheets, Salt, Pepper and some other basic spices, sugar, sweetener
I check at the house for: Garbage Bags, Paper Towels, Tissues, Hand Soap, Toilet Paper and then buy what I need