To check the settings for the game while the game is still running, do the following:
1. Use Alt-Tab to get to the desktop.
2. Open your GalCiv3 directory. For Win7 is is located at C:\Users\your name\Documents\My Games\GalCiv3.
3. Locate the Prefs.ini file and open it with your favorite text editor.
4. Search for GalaxySettings.
5. The GalaxySettings section should tell you part of what you want to know. The next section, GameSettings, should tell you the rest.
The Prefs.ini file is updated when a new game is created, so it will contain information about the current game.