A standard gym should provide all equipment and machines required to complete the workouts.
If you are training from home you'll need:
Build a Booty Program Level 1
Sliders
Booty Band
Power Band, Resistance Band, or TRX Bands
Set of Dumbbells
A Bench or sturdy piece of furniture
Yoga Mat
Build a Booty Program Level 2
Yoga mat
Set of dumbbells
Bench or sturdy piece of furniture
Booty or Cotton bands
Sliders
Resistance or Power Bands