You will need a bed, blankets, coats and sweaters if you live where it's cold, a harness for walking because collars are bad for little dogs (collapsed trachea), you might want pee pads if you are potty training inside or using them when you can't be home to get the pup outside. Enzyme cleaner to remove stains and "smells" from carpets and floors for potty training, baby gates to block off rooms so you can keep an eye on the puppy during potty training period, possibly you might want to use blankets over your carpets in the room the puppy will be spending it's time with your family, we used them to cover our floors so the pup couldn't pee on the actual carpets and just machine washed them after accidents, works great!!
treats, toys, training treats, (a clicker if you want to clicker train), tooth brush and toothpaste for dogs, nutrical or karo syrup for possible hypoglycemia episodes, metal water dish for keeping water cooler all day, NO Plastics, porcelin or ceramic food dishes, food dish mat for spills, heart worm medication, flea and tick medication (from vets) ear cleaner, tear stain remover, oatmeal puppy shampoo, and conditioner, pin brushes, flea combs, regular comb, crate for training and at night, exercise pen for long hours you may be gone while dog is in training because the crate is too small for all day use. good top quality dog food (i use a home made raw diet PM me for details) a good vet office you trust for shots and check ups, puppy steps if you have a tall bed or couch and want the pup to get up there easily, chew toys and Bully Sticks (from AMD for less stinky and cheap ones
www.westbrookdog.com) you might need bitter apple spray to prevent cord chewing, hide all things dangerous and puppy proof the home.
This is all i can think of now. make sure you really read up about caring for a yorkie. they are a very difficult breed to potty train unless you really can be consistent and they don't do so well being alone for very long, i would highly recommend Yorkshire Terrier's for Dummies and any other yorkie book about the breed so you are very ready for this baby, they are wonderful but challenging dogs.
hope your daughter will just love this and i'm sure she'll be thrilled to get a puppy, but they are hard work, so be ready for a lot of work and a lot of expenses at first, puppies are not cheap and take a lot of supplies and work.
Good luck and give us lots of pictures when you get him/her