It really all depends whether the Earth was made without water or if the Earth runs out of water (which is not only impossible but also hard to believe. I'll answer these two:
1. If the earth was formed without water, life would've already been adapted or made to live in a certain way without water to this day, and basically need to survive on something else.
2. If the Earth runs out of water, the results of this event would be unpredictable. Life would not survive without water, and those include plants and animals. No plants, no food for humans or animals, and no animals means no meat. The climate would also be unpredictable, but from perhaps, the climate will be warmer and feeling scourging heat of the sun (think of the desert where there's no water, and therefore, no rain) (or a drought).
Of course, ocean is where we get majority of water. There are other sources where we can get water, like underground (Springs), a pond, and a few others.