It depends how your website is created.
If you create a website with WordPress you can find many free Mobile Friendly WordPress Themes.
If I created my site using Go Daddy website builder here, is there any way that I can have it display properly on a mobile phone? Also, it appears that only a partial pages shows on my mobile phone, but then the full-pages range shows on my desktop computer. Is there a way, a button I can click to optimize the site for mobile viewing so it will show everything as is shown on a desktop computer?