Could you bring the book with you? Maybe something like "let's get dressed and bring the book to the car!!"
You could also let her know that this is the last time mommy will read the book, and then she can look at the pictures.
Maybe make up a song to sing about the book while you transition from that into the next thing? Or walk like a character from the book up the stairs to get dressed, or out the door?
When DS2 was a little bit younger than your DD is, I started singing an "out the door" song (the Monster Disco from Sesame Street in the 70s) and he loved it so much that it could distract him from just about anything, it was like magic.
Can she be distracted from a tantrum? You could start by sympathizing with how sad she feels, say you see her sad face. Show her your sad face, then segue to discussing other types of faces.
Not sure if any of those will help. Tantrums aren't fun!
may my heart always be open to little birds who are the secrets of living whatever they sing is better than to know - e.e. cummings