No. Banning guns does not lead to a country becoming a dictatorship. For answers, see
this Quora-discussion (click). Yes, the nazi's put heavy restrictions on gun ownership. But only for Jews. Other Germans could still easily get their hands on guns.
Australia succesfully banned guns after a mass shooting and can't be considered a dictatorship. Pol Pot became a ruthless dictator of Cambodia. But never banned guns. He had the French occupiers before him to thank for the fact that gun ownership for citizens was restricted so he wasn't afraid for an armed rebellion.
In Afganistan there's a large 'Kalashnikov- culture' but the country's citizens bow under a ruthless dictatorship.
Britain, Norway, The Netherlands, Germany...they all have laws in place to make it hard for civilians to simply buy a gun. Are all those countries dictatorships? Yet, Americans influenced by the powerful gun lobby seem to think it's a fact that if you take away guns from civilians, they will get oppressed by a ruthless dictator.
Thinking that arming every civilian will lead to less shootings is rather stupid. For example: if drugs were easier to get, would that lead to less people being drug addicts?
In all countries the government has a larger military than its civilians. Does that mean that every country is basically a dictatorship? Of course not. Hence the statement: 'Banning guns leads to a dictatorship' is false.
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