This information could be anything sensitive or personal which can include credit card numbers and other financial information, names and addresses.
They may be able to terminate the connection but both the server and user will be able to tell this has been done by a third party.
We still refer to our security certificates as SSL because it is a more commonly used term, but when you are buying SSL from Symantec you are actually buying the most up to date TLS certificates with the option of ECC, RSA or DSA encryption.
HTTPS (Hyper Text Transfer Protocol Secure) appears in the URL when a website is secured by an SSL certificate.
It allows higher protocol layers to remain unchanged while still providing a secure connection.
So underneath the SSL layer, the other protocol layers are able to function as normal.