The New Google Sites doesn't support comments directly. Googling around and I was able to create comments doing the following
Create a google account. I've had one for years. I am not sure what the steps are.
Add a Comments page
Open a browser and go to
Select QUESTIONS
Click + to create a new form
Change title to Comments
For the first question, change to Your Comment
Make it required and use type Paragraph
Click + to add another question
Change to Your Web Name
Make it required and use type Short Answer
Click + to another question
Select the enable email collection and the form will complete this for you
Click on Title and it should change to the name of your form
On this Google Sites, create a new page called Comments
Click on Insert and select Forms, then click on the list icon and the form should be there
Save the page
Add "Add Comment" as a link to the footer
See if it works
Add a comment
Add a spreadsheet to store Comments (responses)
On the Google Docs page above
Select RESPONSES
Click on the create spreadsheet icon
Click create
In a browser go to
https://docs.google.com/spreadsheets
Hide the column containing the email address
Display the comments
Create a new page on google sites
Select Insert
Click on Sheets
Choose the spreadsheet created above
Add "See Comments" as link to the footer