Without an assessment it is hard to be help. As long she did not have a c-section, is no longer bleeding and she feels ready, it is awesome to get into the gym because moving the body is always a good thing! (Otherwise, she should not be near the gym yet because it could be dangerous for her)
Kettle bell swings are not a good idea until the doc clears her because she has a hormone (called relaxin) in her system which helped her hips move for childbirth. She should not be doing KB swings due to the hips and the traction on her spine (yet... her day will come soon). Air squats/body weight squats are safer bets.
Push ups - especially sets of 10 can be quite difficult for many people. It might be good to start on an angle - like a bench and sets of 5. Just start training the right muscles to get moving.
If you go with her, and assess her ability for each exercise, give her starting points, and then goals. It always helps to have something to work toward and see the improvements. Starting with 3 sets of 5 the first day, working up to 4 or 5 sets. Then 3 sets of 10 would give her progress and goals which always feels great. By then the doctor will have cleared her, her body will be getting familiar with the movements, and she can start slowly increasing or adding weight which opens the door for many more goals and progression!
Daily walks (listen to the body... start with 15-20 minutes) are excellent too!
Hope it helps .... And Congratulations on the newest family member!!! Glad to hear she wants to get into the gym!