No, it does not cost money to get an account, but if you want to actually play the game, you will now have to pay £17.99 to buy the actual game, but you can always play alpha 0.3 in a very basic creative mode that does not even have mobs.
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Yes for the full version
No, it only costs money to buy and play the game.
No, it only costs if you wish to upgrade to the premium version.
It costs $20 to get a premium account and download minecraft.
It's not the account that costs in Minecraft; it's the download. The cost to download Minecraft is $19.99.