PC cards are 0.7V into 75 ohms. They're almost always back-terminated, so you'll get double that - 1.4V - into the high-impedance arcade monitor input. Still a far cry from the 3.3-5V expected by most arcade monitors, but often close enough that tweaking contrast results in something usable.
Assuming this is a standard res monitor, you can run 640x480@60Hz if it's interlaced. 800x600@48Hz interlaced also works, but it'll be very flickery. Highest progressive mode you can run is about 320x244 @ 60Hz.