Hi centrestriker & welcome
I agree with Badluck1674
Certainly, in the past, girls were always expected to wait for the boys ~ to ask them out and to take the lead thereafter.
It was the ladylike way to behave.
And you are her first boyfriend.
Be respectful, patient and trustworthy ~ as I'm sure you will be, if you are reserved and she is the girl of our dreams.
If there is real trust & affection between you, then things will develop naturally.