Kemp, the 18-year-old allrounder, returned early from England's tour of the Caribbean in December with a back stress fracture. She returned in a batting-only role for Southern Vipers in the Charlotte Edwards Cup earlier this month.
Kemp earned her international debut during the last English summer and soon made her mark against India by becoming the youngest England player, male or female, to make a T20I half-century. She went on to be named the Women's Young Player of the Year by both the PCA and the Cricket Writers' Club, and was awarded an England central contract.
England A, coached by Jon Batty, will play Australia A in three T20s on June 21, 23 and 25 followed by three 50-over matches on June 28 and 30 and July 2.
England Women Head of Performance Pathways, Richard Bedbrook said: "The A-side pushed the full Australian team hard during the three-day warm up and with a number of quality individual performances, we're very excited to continue competing across the T20 format against the Australian A-side."
England Women's A squad for first T20: Maia Bouchier, Alice Capsey, Alice Davidson-Richards, Freya Davies, Charlie Dean, Mahika Gaur, Sarah Glenn, Bess Heath, Freya Kemp, Paige Scholfield, Bryony Smith, Linsey Smith, Lauren Winfield-Hill.
England Women's Test Squad: Heather Knight (capt), Tammy Beaumont, Lauren Bell, Kate Cross, Sophia Dunkley, Sophie Ecclestone, Lauren Filer, Danielle Gibson, Amy Jones, Emma Lamb, Nat Sciver-Brunt, Issy Wong, Danielle Wyatt