By default, all meetings booked in Robin will use the service account or room resource as the organizer. When you enable Allow Personal booking setting, this allows any of your users with a connected Office 365 account to book as themselves instead.
To enable this, have an admin go to Manage > Integrations and turn on Allow personal booking. Then, if you have a personal integration for Office 365 (i.e. have signed in via O365 before) under user profile > Integrations, you should see new events created with you as the organizer. This allows you to edit the events in either Outlook or Robin freely, with changes syncing instantly.