You pay for BBC's TV programmes; you don't pay for the BBC's online news.
However, the BBC news I use does appear to be funded by licence-fee payers, among other sources.
"The World Service is funded by the United Kingdom's television licence fee, limited advertising[6] and the profits of BBC Worldwide Ltd.[7] The service also gets £289 million each year (agreed up to 2020) from the UK government.[8]"