Complex sentence: When making a TLS connection the client requests a digital certificate from the web server; once the server sends the certificate, the client examines it and compares the name it was trying to connect to with the name (s) included in the certificate.
Split into simpler sentences: When making a TLS connection the client requests a digital certificate from the web server. Once the server sends the certificate, the client examines it and compares the name it was trying to connect to with the name (s) included in the certificate.