I believe it basically does whatever the web browser does. So if the fonts are available in the web browser, then they will be available to show up. In the HTML/CSS, you can give alternate fonts to select.
Unless you have a specific font in mind, a good way to go is to use Google fonts. There is a wide selection, and they're available in any browser. You can select Google fonts in the Quest UI, and you can inject them yourself (I have loaded them with my CSS).
Check out the selection available:
https://www.google.com/fonts