The most convenient way to go is to see the basics first. Understand the function of each article of baby girl clothing and buy only the ones which you need right away especially for the first few months. Then you continue building on your daughter's wardrobe after then.
Pick a few pieces of sleepwear which would fit your little princess. A sleepwear usually covers your infant girl from the chin down to her legs. This is quite essential protection and comfortable for a much needed sleep. You can skip this altogether though if your baby naps during daytime. Sleepwear items as baby girl clothing have so many designs to choose from, and many colors to match them. One practical way to deal with this if you are the on-the-go kind of mom while keeping close to budget is to choose the typical girl colors. Designs and styles will come to you at a later point in your shopping life.
Overalls are wise investments although they are not usually gender-defined. These items are best for your baby girl as they are easy to take off and put on them. They are convenient especially with the button-front feature right in between the legs. Another variety of this type of garment is the romper which can come in shorts or in the form of an undergarment.
Coveralls are another type of overalls with just a very slight difference. They function the same and that is what you needed after all: provide protection for your baby.
If you are not a big fan of the coveralls, you can always buy individual items separately. Buy tops and bottoms which can sometimes be complementing or otherwise. Buy more of these items as you would be expected to change your baby's clothes most of the time. This would save you time on doing the laundry often.
Socks are a must in your child's wardrobe as well as crib shoes. Shoes which have soft soles are also another option. Your baby may not be walking soon enough during her first few months, but these are good for protecting the feet better than socks so make sure these are part of your baby girl clothing items.