Hi Ross
If you dont live right on the coast, and the tank is lined (or at least isnt leaching concrete into the water) then I would expect the short answer is there is bugger all in your water in terms of major ions (being sodium, calcium, magnesium, chloride, sulphate, carbonate, bicarbonate). You will probably have some minor organic compounds from leaves and the odd dead possum, and maybe some coliforms if the possum crapped in there before he died. The cheapest test would be to measure the electric conductivity which would give a good idea of how many ions in total are in the water. Not sure if swimming pool shops do that or not.
So, the chances are the water is defficient in the ions you want for AG brewing and if it was me I would be adding salts, working out the amount by assuming the tank water concentrations are zero. And personally I would do all my water additions to the brew pre-boil, no top up after, just to get rid of any coliforms.
But I'm sure some tank brewers will have better advice from experience.