score:2
Tom is correct for the "visa" type, she did in fact need an Entry Permit.
However, it seems that many different ways are in place to obtain that permit. The immigration department as linked above (http://www.immd.gov.hk/eng/services/visas/overseas-chinese-entry-arrangement.html#c) states 4 weeks processing time (upon arrival of the documents). Shanghai residents can (pre-)apply online for an HK entry permit, which takes 10 days processing. And at the embassy here they did the permit in just one week (and a 10€ processing fee).
Upvote:3
She needs an Entry Permit for Social Visits to Hong Kong.
http://www.immd.gov.hk/eng/services/visas/overseas-chinese-entry-arrangement.html#c