Sounds like a wonderful opportunity to make a friend. If you have her phone number, call her and ask if the two of you can go out for coffee or lunch or something and set a time. Otherwise, next time she calls to check on how you're doing, suggest meeting.

See if you have some little thing in common you can build on. I go to the library with one friend after coffee and so we get together at least every 2-3 weeks to return books back to the library and get more, etc. It's an easy, casual way to do things and occasionally we go near lunchtime so do lunch. Since she sounds busy with work, maybe suggest evening and an occasional dinner or after dinner dessert?