I have personal experiences with abused dogs and stolen cats who returned very ill and potentially abused.
Will she remember her former life?
Yes, definitely. People and animals remember traumatic experiences to be able to either avoid them in the future or deal with them better if they cannot be avoided. You may notice some quirks of hers. Maybe she's afraid of loud voices, dogs or men, or maybe just men with beards or blondes in particular.
You should accommodate for her fears and always offer her a safe place where she can retreat. A living room or kitchen is not ideal because that's where people and especially guests usually are. A bedroom, unused guest room or guest bathroom is a better choice. This should also be the room where you keep her for the first days after adoption.
If you have guests over (especially children) and your cat hides in that safe place, you must make your guests understand that they are not allowed to follow the cat and try getting her out of hiding or pet her despite her attempt to hide.
If you notice a specific trigger of hers, like a certain noise, you should try to avoid making that sound (like a squeaky door, try oiling the hinges).
My question is, what are the chances she will bond with us?
Her traumatic experience doesn't necessarily make her a recluse. She may need more time than usual to trust you, but she can be as affectionate as any cat.
Just keep in mind that whether or not a cat is cuddly and affectionate is a question of her individual character. If she never was cuddly in her life, chances are low that she'll start now. If she was very cuddly before, she will probably be just as affectionate with you.
To avoid a common obstacle in gaining her trust, remember to never stare into her eyes. Whenever you look her in the eyes, do the "lazy cat blink" instead. That is nonverbal communication and tells her that you don't want to start a fight but be friendly instead. Give her room to approach you on her own time without approaching her or touching her first.