If the cats know each other and are brought home at the same time - introductions are not necessary.
I'd confine them to one room that's cleanable (bathroom) and put the litter box, food/water (keep them far apart) and the cats with some nice soft blankets in the corner for a few days and then let them explore supervised for a week or so.
When you are not there, they should be confined till everything is comfortable.
In the meantime, read up on various threads in here about cat care, etc.
The basics needed are:
Litter pan (2 if you have 2 cats)
Food, water dishes (separate food dishes for each)
Grooming supplies - combs, nail clippers
Quality cat food - Royal Canin, Chicken Soup for the Cat Lover's Soul - or read in the Nutrition section about other good foods
Cat tree house - a minimum of 4 feet high - not the cheapy small ones
Also if you've never really had a pet, I'd look for a shorthair one (far less grooming involved) and a quiet, laid-back personality. If you've never had a cat, an active one (like Siamese, Oriental, Ocicat, Bengal) would NOT be a good choice for a beginner as they would think the cat is totally nutz/wild
Best thing to do: Make a list of the cat qualities you want and stick to that for when you are looking. If you do not like a lot of grooming and combing, do NOT adopt a longhair no matter how much you think its the right cat. You will start to resent the grooming and then the cat will get a lot of mats and you will have more problems. So make out the list of personality/looks you want before you start your search.
I've had shorthairs my entire life. Got a Turkish Angora cause they were less maintenance then a Persian - I am not a "grooming" type of person and after about a year or so, I rehomed him to a friend who loved longhair cats. He was supposed to be a top quality show cat, but didn't like showing. I didn't like grooming him. I'll stick to shorthair cats!