What is a Browser ?
Browser is a computer software that allows people to access information through websites, images, videos on the internet (World Wide Web).
Whereas, a search engine is just a website that runs inside a browser.
What is Search Engine ?
Search Engine is a website that crawls the web and collect information about websites, images, videos and others. And allows an easy way for users to find things on the internet.
Example: Yahoo Search, Google Search, Microsoft Bing, DuckDuckGo