The browser does this for you. Chrome (and all major browsers) have a certificate validation that parses the hostname in the certificate and compares it to the site you are on.
Checking certificate details manually is primarily useful for troubleshooting. It serves little to no security benefit for 99% of users.
What details would they realistically look at, anyways? If the certificate validates, that's an automated check of most of the interesting bits. But the first thing in my dialog, for example, is the subject, which is garbage for many DV certs. Then there's the difference between CN and subjectAltName…