If you've just started the game, you can find him in Mr. Pokemon's house. He'll hand you a pokedex and leave. Then you can find him in Kanto's Pallet Town. He'll be in his lab.
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She is in the house behind prof oak's lab in pallet town.
you go talk to prof. Oak
At Pallet town from prof. Oak after you defeat red
after you beat red[in mt silver] , go to prof oak and he will give you a Pokemon
To get a starter from him you have to beat red at mt silver.
Beat all 16 Gym Leaders, then go to Prof. Oak in Pallet Town
You can find ZIGZAGOON in Safari Zone after Prof. Oak gives you the National Poke'dex.
After beating the 8 Gyms of Kanto you have to talk to prof. oak and then he will tell the guards to let you in.
Well if u fought him and want to fight him again go to Prof. Oak then go back to Mt. Silver
You get the HM Rock Climb from Prof. Oak when you beat all the gym leaders in both regions.
If HM8 is Rock climb, You have to beat blue (gary Oak) then talk to Prof oak and he give you it. Blue is the 16th Gym leader