Obviously, we have to take account of the concentration of hydronium ion released from water.
Water releases 10-7 ions and the other substance used in the given problem produces 10-10 H+ ions. So total concentration is 10-7 + 10-10.
Taking negative log of the stuffs, we get the result pH = 6.999956
The result shows that since the substance is very dilute, it hardly could make a major change in the pH. But never the less, keeping true to its nature, it made the solution only a slightly acidic (<7).
Remember, it's never possible to create a basic solution by just adding H+ ions to water..!