It's not possible to capture Pokemon so no. You can unlock pokemon like Mew and Celebi.
Pokemon Stadium Pokemon Stadium 2 Hey You, Pikachu! Pokemon Puzzle League Pokemon Snap
yes
No, they were separate.
yes
Pokemon Stadium 2 allows you to utilize all 251 pokemon however some are only available through use of the Transfer Pak. Mew and Celebi can be unlocked by completing all modes on Round 2.
no
Well, Pokemon Stadium is a rather old game. And in it, you do not catch Pokemon, you choose from a selection of them to battle with.
normally you can't however trading can help you get them but if all else fails if you have Pokemon stadium or Pokemon stadium 2 you can trade using a transfer pak and get the starters as Pokemon presents.
Pokemon Stadium Pokemon Stadium 2 Hey You, Pikachu! Pokemon Puzzle League Pokemon Snap
Pokemon stadium 2,yes
brawl on Pokemon stadium 2 15x
yes
No.
No, they were separate.
To unlock the original Pokemon Stadium, you must play on Pokemon Stadium 2 10 times.
It is not possible to utilize Firered for Pokemon Stadium 2 as the Transfer Pak is only compatible with Gameboy games.
Search for Pokemon stadium on Google, then when that page loads press on shopping at the top of the page and that will take you to a bunch of Pokemon stadium games.