For wireless connection between your ADSL modem and a laptop or tablet you need a wireless router. They connect to the Ethernet of your modem and also offer wired connection for your current desktop.
So instead of modem --- PC you have modem -- router -- PC, with the modem also able to communicate wireless to the laptop to tablet. Your tablet will be able to communicate with every WiFi it finds, either your router or a wireless hotspot or a wireless router with your friends without needing anything special.
what do i need to buy and is there something that i can use on tablet that will let me have internet anywhere i am at. some time there is on internet connections in homes.
give in english cause don't know a lot about computers and hookups.