Yes, you could start by sending her a friendly message. Just a simple 'Hey, noticed you often check out my stories. What do you think of them?'
It depends on how you feel about her. If you're interested in her too, then you might want to respond in some way. You could like one of her stories or comment on it. This shows that you've noticed her attention and are open to more interaction. But if you're not interested, you can just leave it be. There's no obligation to do anything just because she looks at your stories.
If you're interested in her, you could try to initiate a conversation based on the content of your stories. For example, if you posted a picture of a new book you're reading, you could ask her if she has read any good books lately. This not only shows that you're aware of her interest in your stories but also gives you an opportunity to get to know her better. However, if you don't want to encourage her attention, it's probably best to not do anything. You don't want to give her the wrong idea if you're not interested in a relationship or even just a friendship with her.