Does that money go to the EU? Yes.
Would that money be freed up for other uses? Yes.
Would some of it end up being reallocated to the NHS? Very likely, given the politics of the UK.
If you'd said ALL of it WILL go on the NHS then you'd be right, but you aren't arguing with that statement.
https://twitter.com/mgtmccartney/status/746245181532418048
"Let's give our NHS the £350 million the EU takes every week"
https://twitter.com/mgtmccartney/status/746245181532418048
"We send the EU £350 million a week
Let's fund our NHS instead"
The clear implication is that £350m per week is available, and that it will be spent on the NHS.
£350m is the gross figure, it ignores the > £200m per week we get back.
There is not going to be any increase in NHS funding. Anyone who voted leave because they thought there would be an increase in NHS funding hasn't been paying attention - the NHS has seen deep cuts in recent years and those are only going to get worse after Brexit.
Oh and by the way even Nigel Farage has said it's not like that http://www.independent.co.uk/news/uk/politics/eu-referendum-...
One problem in the UK was that people were answering different questions to the one asked.