I would like to get the menu to show on the Blank page template. How could this be done?
The blank page template is intended for creating and styling your own pages. You have to know HTML! Otherwise that template would not be of use to you.
As for adding the menu, there is no easy way to do it. You can either copy the entire HTML structure on a normal page (view source). OR create your own sort of menu by adding links then styling it.
Out of curiosity, why would you use the Blank Page template? Maybe there is another way to accomplish what you want.