If it's just coffee, I'd probably buy. But if it's sushi, fuck that. If she expected me to be a push over and pay for her sushi on a first date, no. That's creepy... I think most chicks around here would probably hit you up on the sushi and then not date you again because of being such a pushover. I'm not even cheap, but I think it's more stupid than anything.
Haven't really dated in a long time. Mostly just courted bitches, hung out and did whatever, no formal dates really, and then I'd end up sleeping with them. Never had an existential crisis over paying for a date, how long I should wait to text back or bang, etc. Just go with the flow.