You have a fantastic opportunity to learn more about a different culture, it will be appreciated if it is visible and genuine!
I live about 3.5 hours away, so when I visit it is usually for a weekend.
It'll give you a good basis of the culture and history, and you'll be able to understand a lot of the idiosyncrasies that goes on within.
I work with Hmong people in Laos - drink and eat enthusiastically; make an effort at the language, and show your respect for elders.
You probably might not think much of it and consider it "inevitable" but culturally, it is a huge step for the relationship if the woman introduces her boyfriend to her family.
It means that she is thinking you are the one, and want everyone's (or mostly everyone's) blessing/okay.