I'll just use acetic acid as an example.
At equivalence point HC2H302 has been converted to H+ and C2H3O2-. The H+ is canceled out by the base, so only C2H3O2- is left.
I think I get where you're going: Would the conjugate base then react with water to form acetic acid and hydroxide? Thus, the pH would be dependent on hydroxide?
If so, the increased concentration of hydroxide would increase the pH of the solution.
Thanks!