From your Mom in HG/SS once you get a few badges I think.
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Amulet Coin is a Hold Item, and Blue version did not have the capabilities of attaching Items to pokemon. Gold, Silver and Crystal were the first games to come up with the Amulet Coin, and you can not transfer to blue via Pokemon Stadium 2 Color Case and Metal Case.
In Red the Amulet Coin item does not exist.
You can find an Amulet Coin in the Goldenrod Department Store basement.
you cant get one without hacking or restart a new game and calling yourself nigel Lewis
The amulet coin is in the basement of the pokemart in goldenrod while you defeat the rockets that take over the radio station