For an autoranging DMM, the key is to look at the display for an annunciator indicating "M", "K" or [nothing]. If the "M" is showing, the resistance reading would be what you see on the numerical display in K ohms; if "K", the reading would be in K ohms; if none of the annunciators are showing, the reading is in ohms. So a display of "00.1" with the "M" showing would be 00.1M ohms which is the same as 100K ohms; if the "K" was showing, a display of "00.1" would be interpreted as 00.1K ohms which is the same as 100 ohms; and finally, with a display of "00.1" and no annunciator showing, it would be interpreted as 00.1 ohms which is the same as, well, a tenth of an ohm. In this case, the meter has autoranged down to the lowest resistance (ohms) range and you're seeing the resistance of the leads and any contact resistance in the probes -- for all practical purposes, zero ohms.
The two zeros before the decimal point are there simply because this particular meter model does not blank out all the leading non-significant zeros, and few meters will actually do that. A meter with a larger display (more digits) might indicate "0000.1" in a similar situation.