It is possible to take the Introduction to Suzuki Recorder course without needing to do an audition.
If you wish to take the full Suzuki Recorder Unit 1 course, you need to submit a video audition to the Suzuki Association of the Americas.
Here is the score and an audio file for the audition piece, for soprano recorder. Accompaniment is optional for the audition recording.
The Flowers are Sleeping: soprano recorder
Webpage and audition submission link:
You will have to scroll down to find the recorder requirements. These are screen shots of what you are looking for: