Search Console is a free service that helps you monitor and maintain your site's presence in Google Search, including any Accelerated Mobile Pages. You don't have to sign up for Search Console for your AMP pages to be included in Google Search results, but doing so can help you understand which of your AMP pages are eligible to show in search results.
Once you have your site set up on Search Console, open the Accelerated Mobile Pages report under Search Appearance > Accelerated Mobile Pages to see which AMP pages Google has found and indexed on your site, as shown here:
The report lists AMP-related issues for AMP pages that are not indexed, so that you can identify and address them.
Search Console also lets you monitor the performance of your AMP pages on Google Search in the Search Analytics report. This report tells you which queries show your AMP pages in Search results, lets you compare how their metrics stack against your other results and see how the visibility of your AMP pages has changed over time.
To view your AMP page metrics, such as clicks or impressions, select Search Appearance > Filter search appearance > AMP.
(Note: if you’ve only just created your Search Console account or set up your AMP pages and they have not been detected yet, remember that Google crawls pages only periodically. You can wait for the scheduled regular recrawl, or you can request a recrawl.)
Have you been using Search Console to monitor your AMP pages? Give us feedback in the comments below or on our Google Webmasters Google+ page. Or as usual, if you have any questions or need help, feel free to post in our Webmasters Help Forum.