There is not a precise equivalent, for two reasons. update-rc.d incorporates a "policy" mechanism that has no equivalent in the Mewburn rc system; and update-rc.d has various mechanisms, defunct since 2013 admittedly, dealing in run levels which FreeBSD, like the BSD world in general, has no notion of.
On the subject of things defunct for years: on a Linux system nowadays you will be likely using systemctl rather than update-rc.d.
What you use to enable or to disable services depends from what service management system you are employing.
All of these enable and disable native services for their respective systems.