hashnode.com/post/what-kind-of-questions-can-you-…
My #2 point
You've given us nothing to help you with.
Localhost where? Your computer? A cloud computer? Localhost is not necessarily YOUR localhost - it could be localhost on a cloud server.
What OS? Linux? MacOS? Windows? Hell, iPhone and Android phones have localhosts. Jailbreak your phone; you can run a webserver on it.
What are the requirements of the live site? Programming language? Any database? What web server is it running? NodeJS? Apache? Nginx?
localhost is no different then any other site; just that it answers to http(s)://localhost and not domain.com
What problem are you actually having? Can you access the site but it throws an error? Can you not access the site and it throws an error? Was the live site hard coded to a specific domain? You'd have a problem moving a Wordpress site to localhost as Wordpress usually hard codes the domain for routing into it's configs.