it is quite common to find your forearm flexor muscles are very painfu during bicep exercises due to the fact you are lifting a weight that is to heavy for the exercise.
I cant emphasise enough the important of perfect technique. In the case a bicep curl, lowering the bar right down to your thighs. So many people only use a small range on movement and this doesnt fully untilize the lengthening of the muscle!
However, you will find your forearms will get stronge, personally i have never had to exercise them, as they have naturally strengthened when performing other exercises