Hi Alice,
That's a pretty broad question. The first question for you is do you want to start simple with something like extract brewing or do you want to dive into the deep end and brew all-grain?
Many, if not most new brewers begin with extract brewing and start by buying a homebrew starter kit which typically includes a kettle, fermenter bucket with lid and air-lock, a bottling bucket, long handled stir spoon, a siphon wand and siphon hose, butterfly bottle capper and maybe a package of bottle caps. Many of these kits may also come with an ingredient kit consisting of malt extract, hops, yeast and maybe some grains for steeping.
With these ingredient kits the typical process is to heat 2 to 3 gallons of water in the kettle. If steeping grains are used then heat that water to the designated temperature, place the grains in the muslin bag provided in the kit and steep them for the time specified in the instructions. Then remove the bag of grains... bring the liquid to a boil and add the malt extract and hops according to the instructions. After 60 minutes of boiling turn off the heat and cool the liquid... now called wort... and add it to the fermentation bucket. The next step is to add fresh water to top the bucket up to 5 gallons. The last thing on your brew day is to sprinkle the yeast into the wort, seal the lid and insert the airlock. Keep the fermenter in a cool dark place like inside a closet and after a week or two the wort is now beer and can be bottled.
Now that's a very brief and basic overview and there are many nuances I have left out in the name of simplicity but those steps outlined will work. All grain is (or can be) more complex. Basically however keep in mind that the malt extract used in the above outline is made from malted grain that has been mashed and the wort preserved by drying or concentrated to a syrup. So in all grain brewing the first step is to mash malted barely to make the wort. After that is done the steps are the same... boil, add hops as scheduled, cool, pitch yeast, ferment and package.
All-grain brewing can be done using a variety of equipment. I started out mashing in a picnic cooler and boiling in a turkey fryer with propane burner (pic 1). Then I moved to three converted kegs, again using propane as a heat source, two pumps and a plate chiller (pic 2). After that I got tired of running out of propane and bought a three vessel electric system (pic 3). I still have that one but today I primarily brew on an all-in-one electric system (pic 4).
Books are an invaluable resource. YouTube videos can help but like all information found online it can be sketchy. Another option for learning is to find a local homebrew club nearby and attend a few meetings. Someone there will surely be glad to help you learn. Aside from that however I highly recommend getting a book or two.
The first book I got was called The Complete Joy of Homebrewing by Charlie Papazian. Charlie is considered the Godfather of homebrewing. He was teaching/preaching the joys of homebrewing long before it was even legal. His book was one of, if not THE first popular book written on the subject. I leaf through it today however and find it somewhat antiquated with information that was held as gospel at the time but today has been found to be inaccurate. The very best thing I gleaned from Charlies book however is the mantra - Relax, Don't Worry. Have A Homebrew. Often shortened to RDWHAHB. In short it simply means don't worry about troubles that may crop up during the brew process because beer wants to become beer. It may not end up as you planned but in the end it will be beer.
The book that is on the top of everyone's list these days is called How To Brew by John Palmer. John's first edition also has some out of date information but he has corrected those issues in the current 4th edition.
Brewing beer can be as simple or as complex as you wish it. One brewer will tell you A, B, C is important while the next will say no, no A, B, and D are the most important. That's why it's a good idea to do some reading first because at some point you have to make a decision and follow a path of your choosing. If it turns out wrong then so-be-it and take a different path the next time. It's just beer after all and you can make another batch.