Weak Acid within a Weak Base:
The nature of curve before the equivalence point is same to the curve acquire through titrating weak acid against strong base. After the equivalence point, conductance virtually remains similar as the weak base that is being added is feebly ionized and, thus, is not much conducting show in below figure.
Figure: Conductometric titration of a weak acid (acetic acid) vs. a weak base (NH4OH)