Unlike Bitcoin, Monero keeps things private.  When you look at the Monero blockchain, the details of each transaction are hidden from view.  You cannot see the amount of coins being sent or the addresses for the wallets doing the sending.  This helps keep Monero users anonymous. 

But it is not perfect anonymity.  The transaction fees and timestamps are still visible and  so if you withdraw Monero from an exchange, they can match up that withdrawal with a transaction on the blockchain using the timing and fees as clues.  They cannot follow the money after that initial transaction though, unless you transfer the coins to another centralized exchange. So Monero offers more privacy than other cryptocurrencies, but moving coins between your own wallets is better than going through exchanges if you want to stay totally anonymous.