Verified answer

It is a redox reaction, where Cu is oxidised and N is reduced.

By the way, the product should be NO2, not NO3.

It's an unbalanced reaction which should be:

Cu(s) + 4HNO3(aq) -> 2NO2(g) + 2H2O(l) + Cu(NO3)2.

You could call it a synthesis reaction by means of oxidation / reduction.

It is an oxidation-reduction reaction. Another way to look at it is that is would be a combination single replacement and decomposition reaction. I think the NO3 should really be NO2.

Do your chemistry homework, and that's how you'll know.