A friend has told me that this girl never opens up to anyone. She doesn't speak to anyone about her feelings, not even her closest friends. She's pretty conservative.

This being the case, it's hard to read her and elicit some kind of emotional response from her.

I'll most likely be seeing her again on Friday. How can I adjust my game for this?

Im def no pro at this

what do you mean open up, she dosnt talk, or she dosnt talk about herself?

If its the later I would go with isolate and share personal experience preferably something she can relate too. After that play the game build comfort. Sincerity is the key here.

im with Alshind on this - sincerity is crucial but coupled with you having to open up. You intiate it by talking about some of your experiences no matter how crap/shit/torrid they were.

She will open up I guarantee it. Maybe not on the first or second go but they will.

She wont open up all in one go - it wil be drip drip from a sink but you will need to continue discussing it. She will stop after the first drip but you will need to make the second and third etc happen and before you bloody know it it will pour out.

She is shy and introverted. She is repressed and in her head too much. She basically needs someone to pull her out of her own little world and provide her with some excitement. It all starts with making her smile and getting her to do something silly and childish and completely out of her nature. Something that breaks her out of her unresponsive nature. Make her have fun and you will she a whole other side of her.

Could you perhaps elaborate a bit on that, how to have fun with her?

If you want routines or something like that, check out other posts. But honestly the best way to make her have fun, is to already be having fun on your own and pull her into that fun. I can't give you specifics because your idea of fun is going to be different than mine, and the situation and environment when you see her will vary too much for me to give you any pointers.
But deep inside you already know how to have fun. But you are focusing so much on this girl that you are being pulled into her reality of introversion and shyness. You have to pull her into your reality, which should already be filled with fun and excitement. If you are not having a good time and enjoying yourself, how do you expect her to have a good time with you?

I think this is exactly what I needed to hear. You summed it up perfectly. Thank you.

Show her fun and just be you! Don't dwell too much on her introversion, be an extrovert and balance her out, just makes sure you include her. If you show intimidation or "awkwardness" towards her "shy" side you start to AFC yourself, stay alpha and let nothing bother you!