Yes, the mechanism sums to the reaction.
You add the equations, cancelling species that occur on opposite sides of the arrows.
Eq1: NH3(aq) + OCl^(-)(aq) → NH2Cl(aq) + OH^(-)(aq)
Eq2: NH2Cl(aq) + NH3(aq) → N2H5^(+)(aq) + Cl^(-)(aq)
Eq3: N2H5^(+)(aq) + OH^(-)(aq) → N2H4(aq) + H2O(l)
OA: 2NH3(aq) + OCl^(-)(aq) → N2H4(aq) + H2O(l) + Cl^(-)(aq)