No, there is no monthly fee.
You buy it one time and if you want to play on someone else's sever all you need to know is their IP address, the one that they go online with.
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No, there is only a one time fee to buy the game now at minecraft.net. I think it is 25 bucks now. but the good thing is that once you make a Mojang account (the company that sponsers Minecraft), you can get minecraft on any other computer free of charge. But to answer your question, there is no monthly charge to play the regular game.
No, you only pay once for it.
You just pay for it once
No, it's a one-off payment.
Minecraft is a onetime Purchase not every game is a pay to play...pay to play meaning you pay per month to play.