A very complex topic. Dehydration is defined as a reduction in total body water below the normal level without a proportional reduction in sodium, bicarb, and potassium, resulting in a critical rise in the plasma sodium and other electrolyte concentrations. Since you’re positing a situation of dehydration from absolute water deprivation (as opposed to severe diarrhea), then 2/3 of water lost would come from within the cells, with the remaining third lost from extra-cellular fluid, including fluid in the circulatory system. So you don’t see falling blood pressure or increased pulse rate from volume loss unless the dehydration is severe. But you do get signs and symptoms of elevated sodium, which can be quite fatal. High sodium levels begin to impair nerve function, brain function, and so on.
Severe dehydration (with its accompanying signs of delirium/unconsciousness, inability to swallow or hold down fluids, uncontrolled fevers, spasming/cramping muscles) needs treatment with IV fluids emergently, and those fluids should be as close in electrolytes to normal human fluid plasma as possible. Normal saline with some glucose and potassium added, or lactated ringer’s suffices.
Less severe dehydration can generally be managed with oral fluid replacement, but it should contain electrolytes and glucose in it, not just plain water. It needs to be given slowly, in sips, to allow for absorption to occur and not overfill the stomach, which can cause vomiting and subsequent aspiration, which is not nice. Gatorade is not a bad oral rehydration solution, nor is pedialyte. The resulting osmolarity of the solution should be around 200 to 325 milliosmoles/liter. The carbohydrate (sugar) component is especially important, as that helps promote intestinal absorption of the fluid. Inadequate carbs and osmolality can induce diarrhea, while excess of those substances can pull more fluids OUT of the body rather than replace.
One can make their own oral rehydration solution by adding 2 Tbsp of sugar and 1/2 tsp of salt to a quart of water.
Once fluids and electrolytes start getting absorbed, things generally start improving fairly rapidly, assuming no permanent damage has already been done. But the aftereffects of severe dehydration may still be felt for days to weeks.
Hope that helps. The above is a very extreme simplification of what goes on during fluid deprivation dehydration.