You are indeed confused.I am a little confused here you can either have a broadband connection which in most cases always on or a Dial up connection which dials your ISP number to make a connection (and you pay the cost of a local telephone call)Yes we have dial-up broadband.
A dial-up connection directly from a PC uses a dial-up networking connection to drive an analogue modem.
A broadband connection directly from a PC uses a dial-up networking connection to drive those pathetic Voyager (and similar) ADSL modems on the end of a USB lead.
Other high-speed connections use a Local Area Network connection to connect to the Internet via a gateway, which in domestic settings is usually a cable router + cable modem or an ADSL modem router. In this scenario the PC does not use dial-up networking and does not knowingly use ADSL or broadband.
By buying some equipment that maintains the ADSL connection.How can I get an internet connection that is always on?