Is there a count button on a Google Doc?
If by count button you mean word count, yes, you can count the
words in a document.
To count the words in your document:
1. From the Tools Menu, choose Word count.
When you want to count the words in other Google applications,
now that you know how to count words in a document, you can
discover the feature in the spreadsheet or presentation
applications by exploring the menus.