How to implement background search in google chrome extension?

Question

API

It is necessary that the extension analyze the content of the site and search by name in the search engine (in the background), and then take information from the web resource (found) and display the information already in the extension.
After all, in fact, requests occur on the user's side. Does this mean that you can do without paid api and just use google?
But what is the best way to implement this?

Answer 1

Something not quite clear described. What information to display?