What is the type of reaction of this 2 NaCl plus F2 equals 2NaF plus Cl2?

This would be an oxidation-reduction reaction (or a single replacement reaction). On the left side of the equation, chlorine (Cl) has a negative charge, because it is bonded to sodium (Na). After it goes through the reaction, it is replaced by fluorine (F), making it Cl2 on the product side. As a atom that is not bonded, its charge is 0. The charge on Cl went from -1 to 0, so it is oxidized. The other anion, F, is reduced (the charge decreases from 0 to -1.