How can I ignore this person?

Don't be mean, just look the other way, or if you are eating, and she's there looking at you,just pull her aside after, and tell her that it bothers u that she stares at you. If she keeps doing it, then tell her in front of everyone...unfortunetely some people have no common sense...Oh,and if she is talking to you in cl about the trip, tell her that it's ok, I hope u have fun, and start talking about something else. Abot the being ahead of the projects, be happy she's trying so hard to be just like you, that's why she acts like that :D