Typical Conductometric Titration Curves are:

Strong Acid with a Strong Base, example for. HCl with NaOH:

Before NaOH is added, a conductance is high because of the presence of highly mobile hydrogen ions. While the base is added, the conductance falls due to the replacement of hydrogen ions through the added cation as H⁺ ions react along with OH ^-  ions to form undissociated  water. That decrease in the conductance continues till the equivalence point. At the equivalence point, a solution holds just NaCl. After the equivalence point, the conductance increases because of the huge conductivity of OH^- ions.

Figure: Conductometric titration of a strong acid (HCl) vs. a strong base (NaOH)