Apparently Trudeau supports the Monarchy as much perhaps more that Harper.

"The younger Trudeau ... has said that the role of the Queen in Canada will see little change under his leadership. In announcing the meeting (Nov 25, 2015), Trudeau promised that "Her Majesty will remain an integral part of our country's progress and future." And the timing of the meeting may signify that Trudeau has taken that pledge seriously. Whereas it took Stephen Harper more than half a year after his election to meet the Queen, Trudeau is making the visit after only a month on the job. "He's made a point to meet the Queen very early in his mandate, it's certainly a good signal," Finch says. "And it's hopefully the first [meeting] of what will be many more to come." CBC online, Nov 25, 2015