There are many steps in this process as I am starting to see.
(1) A fibre supplier moves into the area and does the basic infrastructure installation. Some (OpenServe is one) stop at the fibre DP on the pole. Others (Vumatel) will install a fibre all the way to a small box on the outside of your premises and terminate two fibre cores on a standard Fibre connector.
This is where it stops until you apply for a service, via your selected ISP.
(2) OpenServe also seem to go further in some installs and will install a fibre drop wire or a connection to an ONT unit in your home. Vumatel seems to only do this when you sign up either direct with them or via an ISP?? Again the process stops until you choose an ISP.
(3) You choose an ISP. At this point an access device (router) will be installed by the ISP, or, they will ask you to buy and install it?
I like the way Vumatel does it. A fixed termination point on the outside of your premises. Thereafter, running a fibre patch cord becomes entirely your problem. It means you are not bound by what the fibre supplier wants to do and can install the connection logically, neatly, and to where you want it, not to where the on site team decides is "good enough".