I see a lot current forward on datasheet, but I don´t know the difference from the "normal" current.
Those are two terms for the same thing.
To get an LED to emit light, you need to pass forward current through it - the "normal" current as you call it. It is a forward current because it flows in the direction indicated by the "arrow" of the diode symbol.
simulate this circuit – Schematic created using CircuitLab
Diodes of all kinds can also pass a minuscule reverse current, but that's not the use case you have in mind. The reverse current is an imperfection, but is not useless. It can be used to measure the physical environment the diode is in (temperature, light/radiation levels, etc).