The lottery is always conducted behind closed doors, with trustworthy individuals such as lawyers, firms, and NHL officials, before what is seen on television for the announcement of the picks.
However, the NHL was keen to release the full video of the actual lottery draw to establish the order of the first round in the draft, showing all the teams' balls represented in the draw machine.
You will see that the Canadiens came very close, on several occasions, to obtaining a much better rank than their 5th overall selection:
