Just about any meter will measure volts pretty well.
There's DC volts (like on almost all of your bike) and AC volts like in your house - and in the alternator circuit between the stator and rectifier. Some meters adjust the scale automatically, some have knobs to select the maximum voltage displayed. Exceeding the "knob" value should not do any damage, up to some absolute maximum allowed.
Amps (or MA, milliamps, 1/1000 of an amp) measure electrical current, probably both DC and AC as well. The meter will have a maximum allowable current, more than that and it will probably pop an internal fuse or be damaged. You must not try to measure voltage using the amps scale or terminals on the meter, you will probably overload the meter. Cheaper meters have low maximum current as a rule, better ones should have a 20A scale which covers most bike needs.
Then there's ohms - resistance measurement. This measurement requires the meter to supply a bit of DC electricity to the leads, and it measures the resulting current. With inexpensive meters very low ohms measurement tends to be wildly inaccurate although over about 100 ohms it should be pretty close.
Some meters have a diode test setting, this shows the voltage drop across a semiconductor junction. Good diodes will be about 0.3 to 0.5V forward and read "max" or something similar reversed. Bad ones read zero or max forward and may be either reversed also.
So... as an example: for battery voltage, hook the leads to the red and black meter terminals, red goes to positive and black to negative on the battery. Select the DC volts or a range around 20VDC to take a reading. If there are separate amps terminals, do not use them; if there is one set of terminals and a dial, do not connect to the battery with the knob selecting a current (A, MA, uA) range. It should display the battery voltage!
The stator and field coils can be measured, disconnect all their wires first. The field coil should have a pretty low ohms reading, but don't compare it to the spec as your meter is likely way off. If it's a few ohms higher than with the meter leads just touched together it's likely to be fine. The stator wires should have almost exactly the same low reading between any 2 (ie 1-2, 2-3, 1-3 should be the same). An odd reading indicates a bad coil section.
Oh, don't try to measure the spark plug voltage. That will fry the meter pretty instantly!