What subject?
As someone who has recently completed a PhD in a humanities subject and enjoyed a very good relationship with my supervisor, I can appreciate there's a happy medium to be had between directing the PhD student to such an extent that they aren't working independently and letting them plough their own furrow. I've seen both extremes at close quarters and in both cases, they got major corrections. I think you are leaning a little too much toward the former.
By PhD level I wouldn't expect or need advice on using referencing software or a tour of the library. If they can't figure out either for themselves, I'd worry about their capacity for independent scholarship.
I'd 'third' the suggestion that a 'friendly, but not friends' approach worked well for me. In my supervisor I had someone who, whilst had my best interests at heart, was distant enough to tell me that what I'd written wasn't up to snuff or that I needed to pull my socks up and work harder and able to evaluate my work critically and dispassionately.
I also valued the consistency - if he said, he'd read something or do something by a certain time, he invariably did. Mind you, it did me no harm to learn that my supervisor had other time commitments (undergrad teaching, his own research) and that I didn't have exclusive dibs on his time, so it might be good to subtly make it clear the level of contact and support a PhD student can expect.
Regular meetings with a clear agenda really helped. (It started off at once every two weeks for the first two semesters, shifting to once a month thereafter). As the first year progressed, my supervisor got me to write 500/600 word pieces on the sources I'd been examining since the last meeting. He also got me to write short summaries of what the chapters were going to be about and an overview of the aims of the thesis. These 300 word summaries were really helpful in keeping me on track and thinking about how my research contributed to wider scholarship. These also gave a focus to the supervision sessions.
So for this first meeting, I would suggest a chat about her research, how the supervision process works and what you can offer her and try and agree a way of working that suits you both.
Rather than taking her out, I'd see if any of the other PhD students are in and let them tell her where the printer is, what it is like living in the city and where to look for accommodation and dish the dirt on life in the department.
Hopefully they'll take her out for a drink too and it will give her a much better sense of what live as a PhD student at your institution will be like, rather than a potentially nerve whole-day with their new supervisor.