I don't think they are the sole networking supplier, they're just the sole supplier for this project.
On a wider point though, this stuff is hard to make any kind of return on. If you introduce competition, you reduce the number of customers you hook in per mile of cable laid. That usually destroys the business case and you end up with no network being provided or the 'other' provider becoming the monopoly.
Worst case is new supplier 'B' hoovering up all the city customers who are cheap to serve. Old supplier 'A' was using those cheap customers to subsidise the expensive rural ones. With that subsidy gone, prices rise which means even more city customers move to supplier 'B'. Supplier 'A' is left with only expensive to serve rural customers who have to pay ever increasing prices.
Your two options, essentially, are to put prices up so that a competitive market can exist, or create a regulated monopoly.