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The wallet is a place where you store Bitcoin. To get Bitcoin you have to buy them, mine them or use a faucet.

  1. To mine them at home is nearly impossible today. You need certain hardware to make it profitable.
  2. You can buy Bitcoin at many different exchanges.
  3. A faucet is a site where you get Bitcoin for watching advertisement. I don't recommend doing this because I think it's a waste of time but you can get your first Satoshi (the smallest amount of bitcoin) there. But beware of scams.

And to answer the question what mining is I recommend this article on Coindesk: http://www.coindesk.com/information/how-bitcoin-mining-works/

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