Shankerm:
In fact the pH of both distilled and DI water can be measured, and in the case of freshly prepared water both should be in the vicinity of 7 pH, though the measurement sensitivity/accuracy will be somewhat dependent on the residual ion content and the condition of the pH meter. As both waters are exposed to the atmosphere, they will absorb carbon dioxide which gradually reduces the pH to a typical pH range of ~5+ to 6.5.
You might want to consider conductivity as a more reliable measure of distilled/DI water purity.
Orenda