Google a home brewmart or home beer making kit etc... to find out what you need
It's really easy but you do need some special equipment. Bottles (NOT the screw off type) caps, a bottle capper.
Everything else can be improvised by food safe plastic buckets and clear hose from the hardware store.
You can start off buying the whole beer kit, The usually come with a fermenter bucket, bottling bucket, clear hose, bottling cane, bottle washing brush, caps, capper. You have to find bottles on your own.
If you get your stuff at a beer making store, you can buy bottles too.
Most beginner recipe kits come with 6 or 8lbs of pre-hopped malt extract syrup, corn sugar, and a packet or two of the correct dry yeast as a starting point, then you add specific malt extract to make the type of beer you like, dark malt for heavy dark beers (guinness, stout ale, etc...) and plain light extract for pilsners and lagers (budwiser, miller light etc...)
You boil the syrup in two gallons of water for 15 min, add it to the fermenter with enough cold water to make 5 gallons. Pop on the lid and allow it to cool to below 80degrees, "pitch" the yeast, secure the lid, add an airlock (or balloon) and put it in a closet for a week.
When ready to bottle, boil about 1/4 to 1/3 cup corn sugar in about a quart of water and add it to your bottling bucket. Then siphon your beer from the fermenter to the bottling bucket. The extra sugar is called "priming sugar" and the little yeasties use that to make the carbonation in the bottles. If you add too much priming sugar your bottles will blow up. ERR on too little.
The bottling cane has a spring loaded valve in the tip so you just push down and the beer comes out to fill the bottle. You fill it to the rim and when you remove the cane it leaves the exact amount of "head space" inthe bottle! (How cool is that?)
Cap them all and store them in the closet for at least a week to build carbonation and to allow the sediment to fall to the bottom of the bottle.
YES there will be a layer of yucky looking stuff in the bottom of the bottle, It's the dormant yeast. It won't hurt anything but it you pour the beer too fast it will make your beer cloudy.
Now Relax....Have a homebrew...and get brewing!