You ought to receive a confirmation email shortly after registering for the conference. Be sure to read it, so you don’t miss any important information.
Also, whitelist the sending address and keep that email.
Check whether it has your registration information in it, and be sure there are no typos because that’s what they’re going to use for your badge.
If you made a typo, reach out to the conference organizers to update your information, so you don’t have to deal with it at the conference.
If you don’t receive the email confirmation within an hour or so, contact the conference to inquire about your registration. Maybe there was a problem processing your payment or some other issue.