Have the rescue advised you on her cat status? What sort of cat testing has she had? They should be able to advise you on doing the introductions.
A reputable rescue will ensure she's vaccinated, chipped and spayed. Make sure you get the chip paperwork, and if necessary can then transfer it to your name. You will need a collar and lead, ID tag for collar - you can get these made at many hardware stores and PAH. She'll need a bowl for water (which must always be available) and one for food. A dog bed/basket for her to snuggle up in. A brush for grooming and she will need regular trips to groomer. Once she is home with you, get her to a good local vet and registered. Get pet insurance - this is VITAL (unless you are incredibly rich and can afford not to need it). Rescue will tell you when she was last wormed and had her flea treatment - you will be able to continue worming/parasite control at a frequency advised by your vet. Mark on the calendar when she is due for her booster shots each year (just like servicing the boiler or the car MOT).
If you have a car, consider how you will be safely transporting her. Options include a crate in the boot, and a doggy seatbelt/harness that clips into the seat belt.
Plenty of supplies of poo bags! Keep them in every handbag and coat pocket, and a few little bags of dog training treats.
Find a local positive dog trainer - you can look on the APDT website and take her along to dog training classes. A well trained dog is so much nicer to live with and you will find that this really helps to strengthen the bond between you, and give you a lot of confidence - and it's great fun! 
Difficult to give specific advice on neglect - do you mean physical (underweight, untreated medical issues), cruelty, poor socialisation or a combo ?