How to go to the next level in the relationship? Make relationship beyond friendship

I am in kind of relationship with a girl in my campus. We met like a month before and have been having these small conversations frequently. She gives me interest and exchanged each other's number. So, we text frequently.

But now where I think she is kind of interested in me, I am not sure how should I approach from here on? How should I make our relationship stronger and move to being physical? It seems that I am kind of getting nervous of taking this vital step.

So ask her out to do something different from what you normally do. That's a sort of signal that you want more than the little chats that you have. Knowing she's interested is encouraging.

@Anam, will try something different with her and see if she is interested.