Irish girl in Australia on 90 day visa, needs to go to China for 10 days in March

My daughter from Republic of Ireland, is in Australia on a 90 day tourist entry permit, she wants to go to Shanghai PRC for 10 days in March to join other family members who are guests of the Chinese Embassy for the St. Patrick ' week celebrations, she will received a letter of invitation from the Chinese Consulate in Shangahi, can she get an entry permit to visit PRC for 10 days and return to Melbourne to continue her holiday in Australia. Your advice would be greatly appreciated.
Thank You