After completion of the training levels, you get the first level in the game which involves you capturiing Pokémon. This is where you get the Typing Ball. Your first task here is to capture Zorua. On your first visit, you only have to type the first two letters of the name.

Bronze Medal Requirements:
Capture a Pokémon

Silver Medal Requirements:
Capture 5 Zorua

Gold Medal Requirements:
After encountering it in Dark Depths, find and capture Kyogre

After getting attacked by it in "Dark Depths", you will get told that Kyogre was spotted in Zorua Archipelago. Head there and you will get taken underwater by Kyogre. Its attacks are simple Hydro Pumps that it shoots at you and then breaks up into pieces

Level 50
Kyogre has three waves considting of three, four and five Hydro Pump attacks