This is a pretty simple note to see only unread emails in your Gmail Primary Tab / Category / Label.

Search Gmail for:
category:primary is:unread

Tips
After creating the search you can also bookmark that searched page
… or drag the page to your desktop or bookmark bar

If just need this really quick, this direct link will open your Gmail in a browser directly to the unread emails.
https://mail.google.com/mail/u/0/#search/category%3Aprimary+is%3Aunread