You'll need a No-CD executable for this to work.
To add widescreen support to this game you'll need a hex editor such as Be.HexEditor. Open your gof_f.exe file with it and search for the following strings.
58 02 00 00 c7 05 74 f2 75 00 20 03
80 02 00 00 c7 44 24 74 e0 01
The groups in first string 20 03 and 58 02 represent the resolution 800x600.
The groups in second string 80 02 and e0 01 represent the resolution 640x480.
Replace those with the resolution of your choice.
1024x600 - Replace 20 03 or 80 02 with 00 04 and replace 58 02 or e0 01 with 58 02
1280x720 - Replace 20 03 or 80 02 with 00 05 and replace 58 02 or e0 01 with D0 02
1280x800 - Replace 20 03 or 80 02 with 00 05 and replace 58 02 or e0 01 with 20 03
1366x768 - Replace 20 03 or 80 02 with 56 05 and replace 58 02 or e0 01 with 00 03
1440x900 - Replace 20 03 or 80 02 with A0 05 and replace 58 02 or e0 01 with 84 03
1680x1050 - Replace 20 03 or 80 02 with 90 06 and replace 58 02 or e0 01 with 1A 04
1920x1080 - Replace 20 03 or 80 02 with 80 07 and replace 58 02 or e0 01 with 38 04
1920x1200 - Replace 20 03 or 80 02 with 80 07 and replace 58 02 or e0 01 with B0 04
When you're done, save the file and launch the game.
Unfortunately the game stretches and I don't see an FOV fix forthcoming. Because of this you may find better results in changing to a higher standard resolution and using pillarboxing. That way you can increase the resolution, but avoid the stretching.
For instructions on enabling pillarboxing on your system, click on the "Tutorials & How-To's" link to the left and then go to the article named "Gaming with Blackbars (Pillarboxing)".
Ideally you'll want to use the horizontal resolution that most closely matches your monitor's native horizontal resolution (so if your monitor is 1920x1200, you'd use 1600x1200; if it's 1366x768, you'd use 1024x768, etc...).
1024x768 - Replace 20 03 or 80 02 with 00 04 and replace 58 02 or e0 01 with 00 03
1152x864 - Replace 20 03 or 80 02 with 80 04 and replace 58 02 or e0 01 with 60 03
1280x960 - Replace 20 03 or 80 02 with 00 05 and replace 58 02 or e0 01 with C0 03
1280x1024 - Replace 20 03 or 80 02 with 00 05 and replace 58 02 or e0 01 with 00 04
1600x1200 - Replace 20 03 or 80 02 with 40 06 and replace 58 02 or e0 01 with B0 04
Confirmed working resolutions: 1024x768, 1280x960, 1280x1024, 1440x900
Resolutions that failed on my machine (defaulted back to 800x600; may work on other computers): 1152x864, 1280x720, 1280x800, 1366x768