Search is a feature in the Olive Tree app that will help you find a Bible verse or a word in a book you have downloaded to your Library. Here's a tutorial about the basics of how to search in the app.
To start a search, tap the search icon in the upper toolbar. If the search icon is not visible, tap anywhere on the screen to bring it up.
Tap in the search box and begin typing the term you want to search for. As soon as you start typing, a list of search terms will begin to auto complete. Tap on the desired search term and tap 'Search' on your keyboard.
Scroll through the results until you find the verse you're looking for and tap the entry to navigate to that passage.
Long pressing on a search result will give you three options: 1) Go To Location, 2) Copy Text, and 3) Add Note Here.
For more information on the advanced search options in the Olive Tree app, please refer to this article.