How to install a “search box” on a GoDaddy Website Builder?
To make the Search widget work correctly on a GoDaddy website, you need to reinstall it avoiding iframes. Here is an article explaining how you can do this 
If you are facing difficulties with the installation, we’ll be happy to assist. To request the installation, just click on 3 dots next to your widget in the dashboard, then choose Embed Code and Request Installation:
Once it’s done, our Support Team will start working on your request