One easy way, if you have a digital volt meter (DVM), is to test the battery voltage with the engine off; s/b ~12.6v (battery charged, and in good condition). Start the engine and check the battery again; s/b ~13.2 to 13.8, depending on the state of the battery.
If you see the numbers, above, it indicates your alternator, regulator, and wiring are probably OK.
The battery does not have to be fully charged to test the alternator. The initial state of the battery will effect the alternator's charging rate. The fact that it does, indicates a properly operating alternator/regulator.
As an example, if the battery was low, voltage, let's say ~12.4, when you start the engine, the alternator will regulate the voltage to the high end of its range, or ~13.8-14v max; this would be normal. As the battery recharges, you would see the alternator output slowly drop to ~ 13.2 volts--indicating the maintenance output level of the alternator, again, normal.
This is not an exhaustive test of the alternator's ultimate output capability, but tells you that it is "probably" OK.