First, all data on an unencrypted Wi-Fi network can be received by all parties, like people talking in a public room.
Secondly, they don’t see your screen but what you are sending and receiving over the network. For example, if you use an unencrypted protocol (like HTTP) then they can capture the packets and see what your browser is asking for and what the server is sending back. If this includes logging into a site then they can get your hashed password and run decryption attacks against it. The real danger there is that people tend to reuse passwords, so they can try your credentials against multiple popular sites. If they crack it, they can log in as you. This is why HTTPS is important to use (and why all banks, etc use it.)
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