Yes, buying an account only works per one account. If you would like a new account also the full version you would need to buy it.
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You can buy minecraft at minecraft.net. First you need to make an account, then you need to buy a premium for that account. Then download minecraft, and login. Now you're ready to play.
You have to make a account and Buy the game it cost $26.95.
You need to buy the game from Minecraft.net. Once you buy it, it can take a few miniutes. Then your account is premium. Make sure you are logged in with your normal MC account.
When you buy the account, it lasts forever.
No, it is not possible to get a second account in minecraft for free. If you would like a second account you will have to buy it.