All told, she performs how many days of cardio? I would have her drop her extra days of cardio, to just one extra day. That's about three days a week, then.
To properly gain any type of LBM, she's going to need some recovery time.
For exercises, I would recommend the bench press and deadlifts. Those two exercises will hit your upper body. BTW: women can and should train "just like men". The only difference would be volume. Women can handle a greater volume. Only slightly. We're talkin like 1-2 sets more than men and 2-4 reps more per set only. But since these exercises are going to be rather new to her and her nervous system, start her off with 2-sets a piece.
Bench will take care of chest, front delts, triceps. Deadlifts: back (especially low back), rear delts and biceps.
Assistant bench exercises would be dips. Assistant to deads would be pullups. So, there you have it:
Chest: bench/dips
Back: deads/ pullups
Even after nearly 20-years of weight training I still train with these exercises. They pretty much do the job.