PPP is just a different name. What I can recollect is ppp is measured with total baskets of goods converted into a unit and produced in an economy. That's in turn the real GDP.I think PPP is completly different thing, not necerarly real.
As per formula Real GDP = Nominal GDP (p/e). This p is the ppp factor and e is the currency. So I think real GDP is always same as ppp GDP.