In the section called Clinical Use under Indication, toward the bottom, you'll find stage fright.
I happen to be a grad student in medical pharmacology and was taking a course where the instructor told us that it could be used for giving speeches. He said he didn't use but knew of colleagues of his that did.
From what I know it makes sense. When you get scared, nervous, or whatever, your body releases epinephrine a.k.a. adrenaline (among other things). Adrenaline does its thing by interacting with a beta adrenergic receptor. Propranolol blocks adrenaline's interaction with its receptor. Therefore it can not work as effectively. This translates to keeping your heart from pumping too hard, your hands from sweating too much, your gut slowing down, etc.
The dose you'll be taking will probably be lower than what hypertensives and most other types of patients would take. Obviously a psychiatrist would know better.
I was given 10 mg tablets.