Like other businesses, new TLD registries like to celebrate milestones. In the case of .quebec they are currently celebrating their 1st year in business, or as they like to put it, their first birthday:
As .quebec is aimed at the French speaking community of Quebec they do most of their marketing and outreach in French, so choosing to launch the site:
makes sense – “j’ai 1 an” means “I’m one year old”.
The site doesn’t really do anything apart from showing off the birthday candle, but I thought it was kind of cute 🙂