How to find out which fonts are used in an Open Document?

Simply open the LO document,
          then click on the font list
             then scroll down the numerous fonts.

       If the font you're seeking is not there, then to view whatever
document, LO uses whatever it deems best -
          (by what method, I have not a clue)

       If you desire to have whatever font you're seeking but LO does not
include it, then you need to acquire that font(s) & install;
          supposedly if you so do, that font will be available to all
programs on your machine.

       As to how to install these supposedly acquired fonts, I have no clue