He's not.
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You get the pokegear from your mom after you talk to prof elm.
No, Profersor Elm appears in the Johto region.
You can't. Pokemon Emerald is just like Sapphire and ruby.
You go to prof. Elm and talk to him (you have to have togepi in your party)
Prof. Elm will give you one if you show him the Pokemon that hatched from the egg (aka Togepi)