Here are the BASIC super effective moves that you can use on pokemon types. Use the super effective move on the pokemon type. Example: Using Fire Blast on Breloom is a super effective move.

pokemon type super effective move

grass fire, ice, flying
fire water, ground
water grass, thunder
rock water, ice
dark fighting
psychic dark
fighting psychic, flying
Normal fighting
flying ice
ground water
bug fire, ice
steel fire, maybe water
electric mud (e.g. muddy water)
dragon ice, dragon (yes, dragon)

-note- I have missed poison, and ghost, Im not so sure about those.

Anyways this list should help when you're battling the elite four, a trainer or even a link battle with a friend.