If you want to give your newborn a bath before her umbilical cord stump falls off, make it a sponge bath. You'll clean your baby without putting her in the water.
First, make sure the room is nice and warm. Then, gather all your supplies.

You'll need:

cotton balls for the eyes and ears

cotton swabs for the umbilical stump

several small washcloths for the face and diaper area 

two larger washcloths to clean and dry the body

a brush for cleaning the scalp
mild baby shampoo or soap

a cup for rinsing hair, if you'll be washing it

a bowl or two of warm water for wetting the washcloths and washing hair

a baby towel with or without a hood

You'll also want a clean diaper and a change of clothes for afterward.

If you're using a baby bath tub, place a towel over it instead of filling it with water.

If you're using a flat surface, lay a towel down to make it comfortable.

Place your baby on the towel and undress her, but leave the diaper on for now. To keep her cozy, you can wrap her in the towel.