No, that is incorrect, you do not need laws to protect "freedom of speech". In fact it is very easy to go from a law that "protects" freedom of speech to one which limits it. E.g. You can say whatever you want as long as...
The net neutrality issue is largely due to government granted monopolies and subsidies during the internet revolution era of the dotcom days. Now you have to content with monoliths and a very high barrier to entry by competition.