If you are paying cash for a home you are not required to carry homeowner's or flood insurance and you won't have a mortgage, however, it is in your own best interest to obtain such insurance. Just imagine another hurricane like Wilma or, God forbid, Andrew coming through here. You would want to protect your investment. When you shop for insurance, be sure to get a 4 point inspection. Most insurance companies require it, especially if it's an older home. A 4 point inspection costs about $150 and it checks roof, plumbing, AC and electric and will in most cases lower your insurance, unless the inspector finds something wrong, at which point you may want to reconsider your purchase or re-negotiate the price.
Now if the House , have an association, the that is an obligation you must fulfill as often as required (sometimes monthly, quaterly or yearly).
The Hazard Insurance, you can also purchase for a whole year in advance, and there are even discounts of doing it so. I presume, if you can pay 100% for a house, you must know the value of insurance, and most importantly, you know the value of paying it up upfront. With this being said, No, you would not have any monthly payments of any kind.
If you pay all cash for a house, you don't have to have insurance but it is HIGHLY recommended (just 'in case' - kind of like car insurance, etc). You would not have a mortgage but you would have property taxes and any Home Owners Association dues if the property has a Home Owners Association.