There is no purchase or property tax for foreign citizens in Georgia. When purchasing property, only a one time registration state fee of 75 lari has to be paid in the public registry hall. If needed, the buyer can pay a fee of up to 305 lari, and the registration of ownership of the property will be done into the public hall within the same day.
The only two taxes are the income tax of 5% paid from the rent income (only if your property is rented) and in case of resell of the property within 2 years of purchase, 20% is paid from the added value of the sold property.