Dating someone from another country is rarely a matter of a night or two, and the most useful advice is the same as anywhere: treat the person as an individual, not as a type. What follows is general courtesy for a relationship that crosses a language and a culture.
Learning how to pronounce her name correctly is a small gesture, but it is only a start. Respect and attention over time matter far more than any single gesture, and what each person expects in a relationship varies from one individual to the next. Ask her what matters to her rather than assuming.
If the relationship goes on, you may be introduced to her family or friends. This can be a real test of patience, partly because of the language barrier. Russian uses the Cyrillic alphabet, so learning a few words and the alphabet shows goodwill and makes those first conversations easier. A translator or a language app can help, and so can simply asking for her help with a few phrases.
Customs around meeting parents, gifts and hospitality differ between families and regions, so listen, observe, and ask politely when unsure. Being a foreigner is not an excuse for discourtesy; curiosity and patience are what make the difference.