Not if there is no mortgage left on it, according to the HMRC website:
"If the property is received as a gift there's no SDLT to pay, so long as there's no outstanding mortgage on it. But if the person who receives the gift takes over some or all of an existing mortgage, then SDLT may be payable if the value of the mortgage is over the SDLT threshold."
(SDLT = stamp duty land tax)