Why do I get a WAMP homepage when clicking on specific website’s URL on LocalHost?

Ok, based on that, I’m almost positive that you need to re-enable permalinks for your site. You are probably missing your .htaccess file or it is missing WordPress’s rewrite rules.

Go to your admin and find Settings > Permalinks. Select an option, and click “Save Changes” twice (there is a quirk that this avoids).

This will have WordPress automatically regenerate your .htaccess, which appears to be your problem.