Which of these sentences does not contain parallel structure? i stay fit by walking daily, swimming weekly, and eating healthy. my sisters always bicker over who gets to drive the car, wear the newest dress, and having the best boyfriend. open your notebook, get out your homework, and place it on you desk. the puppy looked under the tree, beside the swings, and near the bushes, but he couldn't find his toy bone anywhere.

This sentence does not contain the parallel structure.

My sisters always bicker over who gets to drive the car, wear the newest dress, and having the best boyfriend.

Parallel structure  or parallelism is defined as the repetition of a chosen grammatical form within a sentence.

In the above sentence the phrase that should be parallel are "drive the car", "wear the newest dres", and "having the best boyfriend". The usage is inconsistent and it creates confusion. 

The sentence using the correct parallel structure reads like this:

My sisters always bicker over who gets to drive the car, wear the newest dress, and have the best boyfriend.

"having" is the present participle form of have. The term "have" is used to refer to a possession or belonging. 

A, to visit her father at his army camp