I will assume, English is not your Native Language. This would be easier to read and understand
"Bought boat, never had it on lake. Hooked water hose to lower unit. Started engine. No water coming from engine. Bought new water pump. Took lower unit off and noticed the shifter would just turn. Cables hooked up to engine. What I can tell cable is adjusted?"
When you took the Lower unit off, what gear was it in?
Was it still in that same gear when you reinstalled it?
"Gear shifter just turns" Are you referring to the Lever on the control box, or to the shift shaft?
When reinstalling the Lower Unit, you did get the Shift Shafts lined up?