Cats are cautious animals. During your first few interactions with the cat let them initiate most of the touch.
Giving a cat calm attention goes a long way for them to trust you. Loud noises and sudden movements can also startle cats easily.
A house cat is an inherently loving animal that needs affection, attention, and love from you.
Cats love treats. While food itself is not a gift, a special treat of shrimp or tuna most certainly is. A new toy can also ingratiate you to your cat.
Once a cat is bonded to you they may start to follow you around, trying to get attention. They will often sit in your lap or rub against your legs.