OK, my procedure upon going to a new-to -me unit. Hard to diagnose over the web, but it's what I'd do.
Go to the thermostat, and make sure everything's off. Turn the fan switch to "On".
If the blower comes on you know several things:
The indoor unit power is on, the transformer is making 24v, the red t-stat wire is supplying power to the stat, the green wire is sending a signal to the blower relay, the blower relay is closing, and the blower motor runs.
If the fan doesn't run, the problem is in the indoor unit. Bad blower relay, bad control board, bad cap, bad motor, or bad wiring.
Switch thermostat to "Cool" and fan switch to "Auto". Go out to the outdoor unit, see if the contactor has pulled in (it might be rattling or humming). If yes, see if there's 240v on the load (not where the power comes in from the fuse box) side of the contactor. If yes, the comp and outdoor fan should be running. If not, a power lead to one or both could be shorted or broken.
If there's a control board, water may have gotten to it and shorted one or more circuits out. After that it's time to call out the A/C guy.