I would guess he is 5'7.5 and 160. I'm a bit over 5'11. I have met Theoren Fleury a number of times. He is taller than Fleury, but not by a lot, and Fleury was 5'6" if I remember correctly. Bedard is very close in size to someone like Alex DeBrincat or Johnny Gaudreau.
If people think I am saying he isn't a generational player, that is not my argument, so stop getting angry about my statements about his size. He is a franchise player, as I have stated numerous times on this board already. He's just not very big, and unless he has a major growth spurt, which is possible but unlikely, he is going to have to deal with that as an issue in his career, much like a Yamamoto or Johnny Gaudreau need to. The league is a bit easier for small players now than it was 20 years ago, so he will still be able to excel.
Some are saying he will end up at 5'11" or "Gretzky-sized". Doubtful. In all my years in hockey, I have seen very few players get significantly taller or bigger (in terms of frame) after the age of 17. One in particular I remember from the early 90s grew from 5'10", 180 lbs to 6'5" 235 after his 18th birthday between the ages of 18-21. That is one in a million, though.