okay I just figured out how to get a full page of random symbols. Why you would want this I don't know.
But just open an existing document that is already all typed up full page worth, if you don't want to use one of your existing documents, then just grab a book and start typing as fast as you can for a full page.
Then do:
1: Edit/Select All
2. Change the font to Symbols.
3. Viola, you got a full page of symbols.
Is this what you want?
Edit: if you are wanting to do this for security purposes this is not a good way to do it, its betst to use some sort of encription software that can't be broken without a key. A page full of symbols like I just describe how to do, anyone will be able to change it back to any other font and read what you had typed up in the first place.
Just a shot in the dark trying to guess why you want a page full of symbols.