Corinne, so far, the other members have given good advice on improving your photos, now I will offer a few suggestions.
1.) Practice taking photos of inanimate objects at first, (plates, glasses, little statues) to get more acquainted with composition, and how fast your camera focuses.
2.) Get away from using the program mode; start using the aperture priority mode. Don't let the camera decide what setting it wants - YOU DECIDE! I would suggest starting with f5.6 for reasonable depth of field.
3.) Set up a "photo zone". By this, I mean a place somewhere in or near your home which has good daytime lighting. A brightly lit room or a spot in a garden are ideal. This way, you don't have to worry about lighting, and you can learn by using the formula that the photo zone gives you. Example: At 9am you might get f5.6 @ 1/125th of a second, at noon you may get f5.6 @ 1/500th of a second, and so on. This way, you don't have to worry about inadequate lighting, and can concentrate on composition and your cat's expression. This is not cheating, it's learning.
Later on, after you have exposure and focusing under your belt, you can concentrate on candid shots, which in my opinion, are always difficult, and largely dependent on luck.
And remember: You, and we, as photographers, usually have to take many photos just to get one good one. The other day, I was in Central Park with my friend, and his three year old daughter. He said, "Why don't you take some photos of her?"
I took about 30 photos just to get one good one. Children, animals, and some adults don't always cooperate when having their picture taken.
And most importantly, NEVER GIVE UP!
Many people starting out in photography get frustrated when they compare their photos to others who are more advanced than they.
Good luck, and stick with it! Let's see another photo soon.
Mike