Freedom of speech is freedom from the government controlling what is said. It is NOT freedom from all entities to control what is said in all situations. In fact a big part of freedom of speech is the freedom to do just that. A newspaper nor anyone else can not be forced to transmit speech by another. There is a big difference between China's government controlling speech and a US company choosing to to transmit speech by another.
That being said, it is important for the internet to include access to all sites. Companies providing access should not make access content dependent except under extreem circumstances (Phishing, child porn, etc.) Internet providers should be required to provide access to all sites while individual sites should have the right to restrict speech as they see fit.