Caught my girlfriend going through my PC and phone, how to handle this?

We've been dating for 6 months now. We don't live together. I'm 32(m), she's 24(f). This PC is a desktop/gaming rig in my bedroom. So last night, she came over. We went to watch a movie (Into the wild) around 9. I fell asleep, and woke up close to midnight to her on my computer. As soon as she noticed me awake she quickly closed what she was doing and gets back in bed with me. Didn't really think anything of it at the time, but it's about half an hour after the movie ended.
A little later, I start to pass out again. I feel her get up and open my eyes to her starting to open either Chrome or going into files on the computer (Something with a white background), and again closes is it as soon as she noticed I was up. Didn't say anything, but seriously it looked shady as hell.
Now, this follows her saying earlier in the night that I was supposedly stalking one of her friends on Facebook. I knew who she was talking about because I had typed her friends name in FB before to find her when we initially started dating. Piqued my interest because I'd never met her, but talked about her often. The problem here is no one would know this unless she went into my phone or PC, went onto Facebook and looked at the saved browser history in the search bar.
I feel like both of these are huge breaches of trust, and were triggered for no reason. I've never asked to see her phone or laptop, we've never discussed this kind of thing but she knows I'm not the type of guy to hand this stuff over to someone. I don't think anyone has a right to any of this kind of personal information, either Anyway...I feel a little put off by this. Borderline mad. What are your thoughts on what she's done.and how should I handle it?


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