One of my first blog posts dealt with the Neck Doily–or whatever that collar thing Justice Ginsburg wears around her neck is called. Justice Ginsburg gave Justice Sotomayor a neck doily to welcome her to the Court. Although Justice Sotomayor wore it in the official SCOTUS group photo, she did not wear it in her individual photo, and she does not wear it during oral arguments.
So, the most important question that Elena Kagan should be asked, is whether she will wear a neck doily on the bench.
Now Kagan was notoriously coy about whether she would wear the traditional Solicitor General Morning Coat. So it is likely she would not answer any questions about her attire on the bench. It is also likely that she will not answer any questions about actually being a Justice.
Only time will tell.