How do I connect our event page to CRM registration?

Add your event as described in the docs. Then ask a state admin to submit the event to us via their dashboard. Only state conventions and major state fundraising events use CRM registration at the present time. Configuring the registration is done by LPHQ to ensure data integrity (correct financial types / dedupe rules, etc are used) and for data protection, as some areas of Civi are not permissioned to be domain-specific.