It's in the gym when you're done defeating the leader he will give you
the TM (8th badge)
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I don't think dragon pulse is in Pokemon emerald, sorry.
It learns Hydro Pump and Rain Dance through level up. Through TM and HM, it can learn Water Pulse, Surf, Waterfall, and Dive.
Rectha
you can use a water stone on lombre
Do you have the Tm from misty if so you can check in the description of the move, if you don't have the TM look for a pokemon that knows water pulse and check the powerpoints using "summary".