It all depends on the carrier. Some drop an optical fiber line to your premise and leave the rest up to you. This would require a GBIC or SFP to convert fiber to RJ45/Ethernet.
Most carriers deliver a line that might need at least a router with 2 or more Ethernet ports + software running a static routing protocol.
What did Verizon quote you? They should have quoted a managed router and non-router option. Other carriers have an entirely plug & play handoff, where you only need an additional router for NAT and/or any bells/whistles (VPN, firewall, etc).