On SDMC site, use the given link on property tax to access the property tax portal. There you will find menu for ' list of property id' ,you can locate your property id with your surname etc.
Liability of property tax will arise one you become owner of property, As long as you are owner, that liability remains whether anyone gives you a notice or not; unless barred by some limitation issue . As a property owner, under the law, the legal liability is existing and it is the owner has to take steps to pay the tax on his own by filing return. No notice has to be given for filing and paying tax since it is required under the law. Waiting for demand notice ,survey etc may result in needless interest and penalty burden. Am paying regularly online and one should for peace of mind.