Read, read, read. That's where you should start. Then go pick up an extract kit from the LHBS (local home brew store). You'll need a good sized pot (3-4 gallons), and if you can swing it, get a good brewing starter kit that'll come with fermentation pail, airlock, sanitizer, bottling bucket, capper, etc. They are usually about $100 total and you can brew great beer, really great beer, for a long time with this setup.
Extract brewing (from the kits) usually involves bringing water up to temp, throwing some grains in a bag and letting them sit in the water like tea, then removing them, bringing water to a boil, adding the syrup or dry extract (or both) to the water, stirring often, adding hops as instructions detail, then cooling, pouring or siphoning into a fermenter and "pitching" yeast in it. Throw the lid on and wait...3 weeks later or so (be patient) you'll move the beer (siphon) into a bottling bucket with some boiled water/sugar solution and bottle it up.
3 weeks after that...BEER!
