If Earth stopped spinning, all of the water would gradually move to the poles.
This is because there is a bulge at the equator, so when there is no centrifugal force to bring the water to the equator, it will just settle to the next lowest point. Also if the Earth actually did suddenly stop spinning, (among other terrible disasters) everything would be thrown to the side, with more force at the equator. At the equator everything would be thrown to the side at 1,600kmh. If someone was standing at the poles (and could somehow watch the equator), they would see everything fly to the side but they would feel almost nothing.
Sources: Esri, HowStuffWorks and UniverseToday