No, the connector goes into the ONT, and you ‘reel’ the rest out and pass the non connectorised end through the hole to the outside.
Ideally, a 15mm hole, so a kit can be fitted (a length of tubing with bell mouth caps either end) this stops the fibre sagging in wall voids and controls the bend radius t either end)
but in these current times, a simple 8mm will do.
Once lit, and with a steady PON light, it should simply be a matter of connecting your CP supplied router to the WAN out out of the ONT by a supplier RJ45 ethernet cable.
If you choose to use your own router, then some config will be required, applying the PPP settings and the like.