there will have been a lot of hybridisation and choosing of the biggest fruit and smallest seeds in the history of conference pear development. I find some seeds in them but they're skinny little things, not likely to be viable.
If you did get a good seed you could grow a pear tree but not a Conference pear, they would have to be grafted (or some other vegetative propagation method).
This goes for all named varieties of fruit trees,
Fruit producers want plump fruits not big seeds in their produce, as in seedless grapes and oranges