You got it 100%. Google Forms is great until you have to integrate it with a website. This is meant to work just like Google Forms but with the ability to be embedded right into any layout.
I keep meaning to follow one of these guides to embedding a form and posting to Google Sheets but the Google Sheets API is confusing and everyone's guide for doing this has a different method.
I just need to spend the time on it...
[0] https://sheetmonkey.io/articles/how-to-submit-a-html-form-to...