The app brings up a list of movies, and when you pick one it takes you to a big box shot picture, scroll up to see the description and full title.
If you have setup a user, then there is a + at the top right. Tap it and wait a second or two and it will confirm with a popup message. If the movie is already in your queue, then it will tell you that you could not add it again.
If you do not see a +, then you have not setup a user, so hit the user button on the home screen and login with your Netflix account. The login screen is a web page on the Netflix site, so you are not actually entering your Netflix password into the app. It uses "OAuth" security which is a safe way to authenticate applications.