There are five main areas where you can see highlighted new responses as per the screenshots below.
From now on when you login to your web account, you will see an icon attached to the Forms menu heading denoting a number of responses you have not seen yet.
This notification icon is also shown when you are looking at your dashboard within the most active forms section.
You can also see variations of this icon on the Forms list on a per survey form basis as well.
When you open the Form responses page, you will see now see all responses that were not seen yet, with the small orange icon on the left hand side. These will be automatically marked as seen when you visit this responses page.
Finally, if you receive any further responses while you are logged into your website account, you will receive a notification beside your name at the right top part of the page.