It means for very precise measurements, you have to measure from the film plane of the camera to the subject or use a ground glass across the film plane and check the focus scale while the shutter is open on "B".
The film plane is exactly that; the plane where the film rests within the camera. Some cameras have a circle with a line drawn through it to locate the film plane, but I don't think the Contax II has one.
Gross measurements of any unit such as a one, ten or twenty meters will typically be fine unless the rangefinder is severely out of adjustment. Shooting with the aperture wide-open also makes it harder to be precise, as negligible errors will be covered by the depth of field of a stopped-down lens.
When you get down to the minimum focus distance of the lens on a rangefinder, and you know you have a good infinity focus match on the rangefinder, it's best to actually check the minimum distance with a ground glass to see how an engraved scale matches.
Depending on the lens, it can be accurate or pretty far off. It is a rangefinder that has to operate across a large span of distances and with a variety of lenses, so it can vary somewhat at the minimum focus distance.
Checking each lens will give you the exact distance at minimum focus if you require that precision.