You have one and a half months to make her WANT to take you with her...so, bust your balls and be interested in everything she is working on.
If you can make yourself necessary on at least one project then you're in...
Good Luck, this will be a great opportunity for you...
I'm working in a private small firm (business litigation/real estate) and as a research assistant for the LRW director at my T4 school...but, I'm still a little jealous of you!!!