From
LowEndMac.com ...
"Video: supports resolutions of 640 x 480, 800 x 600, and 1024 x 768 using ATI Rage IIc chip set, 2 MB provides 16-bits at maximum resolution, 24-bits at other settings, will support resolutions to 1600 x 1200 on an external monitor.
VRAM: 2 MB SGRAM, expandable to 4 MB or 6 MB using SGRAM SO-DIMMs"
So, wow. I'm surprised at the 1600 x 1200 but there it is.
The speed of the processor will give you an idea of the era of the iMac (as you know there were many versions with G3 processors)
Here's
Apple's G3 iMac support starting page. You can download the instruction manuals from that page which will give you the specs for your particular model. If you're not sure which one you have according to Apple's bewildering naming ("Original"; "DV"; etc) then you can usually glean the name by entering your serial number into the About Your Support Coverage text box on that page.
Go under the Apple Menu and (depending on your OS version) get the System Profile and check what your video RAM is. That'll tell you whether you have the 2 MB for 1600 x 1200. If you feel adventurous then you can add more VRAM. The 2 is a minimum, and more the merrier.
You should be fine with any standard aspect-ratio LCD display. I wouldn't try one of the widescreen ones, though. I suspect that the wide ratio wouldn't be supported by the video card.
edit: I meant to say "The 2 is a minimum required for 1600 x 1200." not that all of the iMacs came with 2 MB VRAM b/c apparently they might not have.