Browser- a browser is a piece of software that runs on your pc. Examples are internet explorer, netscape, opera and firefox. The browser allows you, via a connection to the internet via your internet service provider, to access web pages stored on computers (servers) that are connected to the internet. Asearch engine is a piece of application software that sits on a powerful computer (a server) on the internet. This computer stores information about where web pages are stored on the internet.
You might be asking about "web crawler" program (the automated scripts which search engines specially Google uses to reach out the webpage and gather information about them. Did I get you right, Jayden?