With data/text free in most countries, I'd want her to text me whenever she thought of me. Sometimes that'd be multiple times in a day, others might be a few days in between.
For us, her habit is she usually texts me goodnight and good morning, so a.) I keep an eye out for those and b.) if I don't get one, I wanna make sure she's ok.
When it comes to pics, it's kind of like, I don't find myself wanting to look though every (potentially boring) photo, but at the same time it'd feel off if she were to exclude me from seeing them.
As a couple, we say we take a FOIA approach, as in, anything you want to see, you're allowed to see. No questions asked. I've never been a stickler about being private with my partners. If I make the choice to be with you, then you're my other half. If I'm not comfortable being open with someone altogether, I don't get into a relationship with them. But that's just me. I know other people who are very private with their partners. To each their own, I guess?