I've never worked with B+W arcade monitors, but generally I believe their signal was a composite signal.
You'd maybe get by by tying the signal to all 4/5 inputs on a color monitor (RGB HSync/VSync), but you probably will need to split the composite into a component drive + separate Sync signal.
As the previous poster indicated you probably will want to amp it up, otherwise you will be trying to drive 3 guns with one signal, and have to turn up the screen control a lot, perhaps to the point of making black too light.
In any case, the screen appearance from a color display is significantly different from a B+W. A B+W display has no shadow mask, only a screen coated with phosporus. Therefore you will be much more able to see "pixels" on the color screen as the resolution is limited to the dot pitch of the shadow mask.
It's sorta like comparing a vector to a raster monitor, even though technically there was a fixed number of pixels generated on a B+W, it was a limitation of the clock and refresh, not of the screen material itself.
Also the color temperature will feel really different too. It just won't glow the same. Probably like comparing the short term phosphor on a computer monitor vs that of an arcade monitor or TV set that "lingers" much longer. B+W seems to have a softer glow that isn't as harsh as a color tube.