In Singapore today, all flats already moved on to the fast optical cable (broadband). The optical terminals (by OpenNet) in our houses looks like this:

Fibre cable (yellow) is then connected to a modem or simply called an ONT (Optical Network Terminal) [sample picture below].

To test internet connectivity, we can simply plug via cable from our PC/laptop to one of the ports and check for internet.
Once we know which port on the ONT our (normal UTP) network cable should be connected to, the other end of that cable should be connected to a router.
A typical router looks like below:
The other end of the cable from ONT should be connected to one of the LAN port of the router.
The router is usually the most important network device in our home. This is because all other devices, like our mobile devices, laptops/PCs and TVs are connected to it.
These routers are sometimes pre-configured by our ISP. However, we can configure them by ourselves. There is usually a reset button on these devices so that we can reset the device to its default setting. Once in its default setting, we may connect to it using it default IP address and set the Wifi settings and security (refer to the model's how-to on vendor's site).
Sometimes the wifi reach is not good and we may need extra "repeater" for wifi at certain locations in our houses. Today, there are many devices that are popular to "mesh" the whole house for reach.
However, if you are renewing a plan and get a new router, and you do not have the budget to get newer products, you may re-use your old router elsewhere in the house. To do this, you will need to cable from a LAN port of the first router to a LAN port old one (maybe in a room). Next, just reset the old router and set it to "Bridge" mode. (refer to model's how-to on vendor's site). :)

