Firefox is not a search engine, it is a web browser. Google is the default search engine in Firefox, but you can change it to whatever you like! Change your default search settings in Firefox

Also, welcome to Firefox! I hope this guide helps you get started! Get started with Firefox - An overview of the main features

parlguthrie said

I wanted Foxfire to be my primary search engine, but when I press on the Foxfire icon Google comes up, why?

Hi  !

Firefox is not a search engine, but a browser.

Google is a search engine.

You mention that Google comes up when you click on the Firefox icon, which indicates that you have set Google as your home page.

You can check that by going to the 3-bar menu (three horizontal lines in the upper right corner) => Options => General

If you do not want Google to be your home page, you can choose any page you like.

See : How to set the home page