As a fellow "non-cat' person, I too had a very special bond with a very special cat.
Being that there are no other cats, as with most young animals it will adapt to and mirror the 'animals' around it. Foster kittens raised by my MinPins act very dog like (come when called, go for walks, greet you at the door) because all they have to model their behavior after is the dogs.
Cats CAN be trained in agility and other competitive fields also - so teach/train it however you like, to do as you like for a companion.
Basic Cat Care: do get it "altered" as soon as possible (surgery cost is based on weight and whether it has had it's first heat). Unlike dogs, they tend to cycle much more frequently - easily four times a year! Vaccinations (8, 12, and 16 weeks old for the core vaccines, 4-6 mths old for Rabies), dewormer and anti-parasitics (fleas,ticks etc) will also need to be done regularly.
What's her name?