Hello, my now-girlfriend confessed to me a few nights ago while in a party, were both anime watchers and gamers, were ''geeks'' so to speak, anyway, I'm not sure when I should call her, since she goes to school in the afternoon, and how to show her that the love she confessed is somewhat mutual and is growing

First of all... be honest.
If communication comes difficult to you, then do it gamers style, (no pun intended). Figure out a way to get it across in game, of course it depends on what kind of games you are playing... computer multi-player, D&D, TV video... I'm sure you can come up with a way. Also, card and flowers should work too. :)
Above all... be honest with her.

A good way to start is by trying to be her friend. You know how she feels. Get to know her a little better and see it it continues to grow. It doesn't have to be fast.

Why can't you call her at night?

Keep doing what your doing. Why change what works!

So she is your girlfriend the hard parts over right? I would say yes, you have tuns of common ground to bond together on so what's to fret about just be who you are and you will get along just fine.

Ive been clling her in the night so far, now my problem is were kind of running out of topics to talk about

There are lots of things to talk about in this world :)

Could be a sign its never nice when you have to force a topic of converstaion

They should always flow

Then don't ring her all the time. Space it apart so you have some stuff to talk about
Like what happened to you in the 4 days you didn't call her.

Send her a text every now and then. I'm watching this awesome moive. Etc etc

Omg this guy just feel down the stairs

You know the normal stuff :)

And relax

Good luck