No password needed, no clicking on "dial up" needed,Just switching on the laptop and voila you are online. Provided, of course, you have DHCP enabled on your laptop and provided you have a connection between your router and laptop.
This connection can be established via wireless or wire. Most SOHO routers come with wireless, though, which makes sense to use with laptop computers as you don't have to fiddle around with wires.
Suggestion: You should get yourself a good WLAN router (e.g. of DrayTek or LinkSys), set it up and use it over wireless connection with your laptop.