How the diode mode of a multimeter works
simulate this circuit &ndash; Schematic created using CircuitLab

Figure 1. A simplified representation of a multimeter diode test function.


  How the diode mode of a multimeter calcul the voltage drop between one point of the circuit and the ground?


It doesn't calculate - it measures - and doesn't know anything about ground - it only knows what happens between its red and black probes and doesn't know if either is connected to ground.


  how the current flow through one point to any ground of the circuit board?


As shown in Figure 1, a test current - typically a few mA - is sent out by the multimeter and the internal DVM (digital voltmeter) module measures the voltage drop across the component.

Ideally you take measurements with the components out of circuit. You must be careful when measuring components in a PCB. (1) Make sure the power is off as, at best, you will get incorrect readings due to voltages present in the circuit and (2) meter damage may result. Again, ground is not relevant unless one pin of the component is connected to it.


  is every grounded metal point attached to the circuit?


Maybe. Maybe not. That is up to the designer.


  If the multimeter display "OL" that's because the line has a short to the ground but what happen when the number is low?


No. Switch on your meter, select diode test range and leave the leads disconnected. OL means "overload" as the reading is higher than the meter can display. Then short the leads together and the reading will be zero as there is no voltage between them.