You don't need to defeat Red twice in a row, although you can keep beating him to raise your stats quickly.
When you beat the Elite Four, you can fight Red. Once you've done that, you can't attack him again until you've done the Elite four again. by doing this, you can quickly evolve Pokemon and level up, which is what I've been doing.
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To complete the storyline you have to beat the Elite 4 To really beat the game you have to defeat Red on Mt.Silver To become a Pokemon master though, you have to catch all 251 Pokemon available in Crystal version
It is not possible to get the Red Gyarados in Pokémon Yellow version. You can only get it in Gold, Silver and Crystal version.
if you mean exp. share the catch the red gyrados and trade the red scale to mr Pokemon
EDIT: I'm not sure either. i tried to trade from crystal to leaf green, and it didn't recognize that i was trying to trade. im not completely sure i think you have to have two-hundred Pokemon on fire red then you can trade from Pokemon crystal.im not sure you can do that with crystal
defeat the third gym at goldenrod city then go look for a girl near the shaking tree at route 36 then talk to her then she will gone off then you go to a house beside the gym go in then talk to a girl in a red clothing then she will give you a squirt bottle