are we talking wilderness camping or camp ground camping? both requier a different approach.
If you are at a camp ground you may want a camp stove, cooler full of food, air matris, radio....things that would be too cumbersome in a wilderness setting. are you going to be campnig far from you vehical or without one? that limits you to what you can carrie on your back...and believe me, that aint very much. bed roll, knife, hachet, enough water for the time you are out there.
water is heavy as shit! 2 days = 2 gallons of water at about 8 pounds each. more days means more water. food requiers ice and that reqiers a cooler. more stuff to carry and more weight. If you have never carried wieght around on your back in the woods you will soon learn that after walking about 200 yards, 30 lbs feels like 150lbs. just to be comfortable you will need about 60 lbs of gear alone and thats not including food or water.
my best suggestion is to do a "test camp" where you are close enough to your vehical to bug out to the store when you realize you need somehting and you can make multiple trips back and forth so you don't have to carrie it all at once.
you will need a tent and something to keep you off the ground while you sleep. the earth sucks the warmth right out of your body and you will get really cold without it.
fire starting kit ( lighter and news paper or 9V batery and steal wool...ect)
a cover for warmth and a cover for rain
water and food (or a means to pureify water and catch/kill your own food)
some sort of light (flash light or lantern)
This is the bare minimum and its going to be 20-30 lbs of weight to carrie depending on the amount of food and how big your tent is. for most this will not be a fun experience. I love to do it because I have the skills to do it and think it is fun...most people wouldn't last a day IMO.
To make it a more enjoyable experience you will need a cooler of food, drinks, snacks and a means to prepare it like pots and pans or scewers, a camp stove, an open fire grill st up...ect. you will need a chair, your own fierwood, and something to pass the time. bug repellant is a must!!
gathering your own wood is an option but you would be surprize how hard it is and you will burn it up much faster than you think. you will need 2-3 times as much "tree litter" fire wood as you would seasoned and split logs.
primitive wilderness camping is great fun but its not for everyone and alot of people make the mistake of saying "it will be great...me in a tent, under the stars, a little fire...what could go wrong"...they end up cold and hungry and bored out of their wits until they trek back to the car in the dark and drive to Best Western.