Paying your mortgage payment weekly means that you'll be making a total of 13 payments in one year instead of the regular 12 payments per year with monthly mortgage payments.
So over the course of a mortgage of lets say 30 years you could save as much as $30,000.00 to $40,000.00 in interest charges making the weekly mortgage payments instead of the monthly mortgage payments which is quite a bit of money saved over the time of the mortgage.
So yes if possible make the weekly mortgage payments and you'll save a lot of money.