I am Makarand P from the Dell Social Media and Communities team.
With regards to your question, as rightly suggested said by riider, internet connection is for the computer and cannot be set up for browser specific on connections. Computers can only be connected through one mode at any given point of time or rather the network card on computers will work only with one mode of internet connections(either wired or wireless). Same is the case with different types of wired connections.(either dial up or ADSL) since computer can only have 1 default gateway to the internet.
Kindly revert for further clarifications,
Thanks and regards,
Dell Social Media and Communities Responder.