After you've started sharing affiliate links, you can go here to view signup reports: https://beta.jamkazam.com/affiliate/signups. Or you can click on Signups under the Affiliate header in the left nav bar (see arrow in screenshot below).
On this page, you can see the number of visits and signups per month generated by your affiliate links. Visits are the number of times someone saw and clicked on an affiliate link you shared, while signups tracks the number of times that someone who click on an affiliate link you shared followed through to actually sign up for a JamKazam account.