Monero (XMR) is a cryptocurrency which provide secure, private and untraceable transaction on the blockchain.
For technical details, you can refer to https://en.wikipedia.org/wiki/Monero_(cryptocurrency)
Is mining Monero profitable?
Mining Monero with CPU is probably profitable if you don't need to pay for the electricity. Which is a pretty good income for those who has your PC run all day long.
How to open a Monero Wallet to store your XMR?
Open a wallet on MyMonero (https://mymonero.com/)
Remember the passphrase. (Important)
Get the address of your wallet. (Something like this: 44TTVnLjtCagvpkDp9ockAC2mm4abc7VhHJYDHyY59gsHdV1oPPII35GBeAvfbVuas43Bi9yegVJiABQbTnFg5dv14hf64S