We're somewhere in between where you were, and where you are.
Convenience stores here are superettes; every block has a pub and superette. For example, my superette is Jackman and Greene and my pub is Peter Easton (infamous local pirate):
Pub:
Superette:
So, superettes NEVER have gas, if it's attached to a gas station, it's just a store. But they have all the same thing. Usually there's also beer (and a selection of local craft beer; legally in Newfoundland, beers must be locally manufactured to be sold in superettes, stores, gas stations, supermarkets, etc.) and a deli. Some of them have an attached butcher, hair salon, etc. So the variety can be huge, but the core store itself is usually just groceries, beer, British imports (shortbread from Scotland, etc.), and seasonal fireworks lol
Culturally... it's a thing. Last incident that's top of mind was going in for a four-pack of Roggenbier, and the guy in front of me walked up to the cashier, and only then did she make eye contact with him, and freaked out. "You can't be coming in here!"
"I got St. Pierre cigarettes in the trunk if ye wants to sell any!"
"I'm after telling ya 100 times I can't be at that at work, b'y! The store could be barred!"
"C'mon b'y, sure you're after selling them before at discount!"
"I can't be at it, b'y. Batter to Jesus, luh."
And I'm like... I put on pants to come here. I really didn't need to do.