What browser means
Browsers and search engines are often confused, because almost every browser comes with a default search engine in the address bar. They are different things. A search engine, such as Google or Bing, explores the web and ranks pages for a query. A browser displays the page you have chosen.
The core of a browser is its rendering engine, the part that, according to MDN, turns a page's HTML, CSS and other resources into a visual representation. There are only a few engines. Chrome is built on the open-source Chromium project, whose engine is Blink. Safari uses WebKit, and Firefox uses Gecko, the engine developed by Mozilla. That is why the same page can look slightly different from one browser to another.