A form of Prunus persica almost certainly. The lenticels on bark of
the oldest stems suggest P. persica and flowering stem is also very
typical, even though the shape of the petals is not. The high def.
image of the emergent leaves confirms it is most likely to be a peach.
As to variety, I've never been a great fan of these and have only grown
a few in the distant past - all of which were paler and less double.