I’m not sure about the setting names, but your display settings in the viewport are not what you need. See the black 3-D box right next to the grey bar that says ‘Perspective View? Click on it. You’ll get a drop-down with several icons. You want the sphere that looks like a marble with a shadow and everything. That will display the surface of the selected figure.
Apologies for not knowing the terms - I know someone else will be able to explain it better. Hopefully this can get you up and running, though. Good luck!
Edit - ninja’d by Jaderail! 