Answer
True
Work Step by Step
At pH 7.0 the solution is neutral, meaning that the $[H+] = [OH-]$. By adding a strong base, you are increasing the $[OH-]$ concentration. Since $[H+]*[OH-]$ is constant, then if $[OH-]$ goes up then $[H+]$ will go down. If the concentration of $H+$ goes down, it follows that the pH will increase above the initial pH of 7.0
