There are two ways to get yourself a BitCoin Wallet.
You can get the wallet by installing official BitCoin client application to your computer. Download and install client application from here - BitCoin.org. But with this application, you have to let it run for several hours when you start it for the first time to syncs huge data with the network.
The easiest way is - get a BitCoin Wallet from an FREE BitCoin online service called BlockChain Wallet - here you can backup your Wallet to third party online data storage service (Google Drive, DropBox, etc) or you can download your wallet backup to your own data storage.
Your BitCoint Wallet Address will looks like this:
187nMN7WHqK9RcFkqbks5HHvVuHUYnexcx
You need to give your BitCoin Address to someone who want to send his/her BotCoin to you ..