No, they do not select. They are all appointed by the chief statistician. StatsCan, current members, and other people who have long-standing relationships with Statistics Canada tend to provide a pool that will make suggestions.
For example, we have almost invariably had at least one member of the media, the press, there. There are a handful of people who are well known across the country, who analyze data and are reporters. That gives you your universe when you try to get some of that.