TSLexi, welcome to the road to becoming smarter than you already are
If you want to begin playing Go in a competent way, I suggest the following. First,
replay pro games on a regular basis. Go puzzles are a little easier to solve when you have some background information to help you make educated guesses. Also, you will develop an instinct for how to play the game. You can pick whichever player you like best, although it is better to begin with a player that usually plays a thickness-based style; since you will be playing mostly handicap games (games in which you are given a compensatory advantage to make up for your present lack of Go ability), it pays to know how to use thickness. It can be a historical one such as Hon'inbō Shūsaku, Hon'inbō Shūei, Huang Longshi, or Hon'inbō Dōsaku. Or a modern one such as Lee Chang-ho, Yoo Changhyuk, Awaji Shuzo, or Cao Dayuan. Just about each and every one of these pro players apply good playing habits in their games.
The more games you replay, the better, but just 1 or 2 games a day is a good way to start. Do not worry if at first you are not able to replay one game all the way through. It does take some getting used to. As you replay more and more games, your brain will be better able to absorb new information coming from these games.
Second, do go puzzles on a regular basis, especially tesuji and life & death. There are also fuseki, jōseki, middle game, and endgame, but these are really just applications of the first two that I mentioned. Remember that quantity is important. Do lots of easy problems to build analytical ability. Doing difficult problems will only retard your progress. I suggest obtaining a book such as Richard Bozulich's
Get Strong at Handicap Go. You can begin to refine your skills at handicap Go by doing the puzzles in this book.
Finally, play actual games on a regular basis. KGS is one real-time server online. Pandanet IGS and Tygem are a couple of others. There are also turn-based servers, if you do not have time during the day to play a full game. You can play against a computer program as well as against other human beings. Most Go software is programmed to play at strong amateur or even professional level, with different ranges of difficulty. Some are found online. Here is one.
http://www.cosumi.net/en/
Try this régime out and see how it works for you. Of course you will lose many games at first, but you will improve steadily and soon you will be winning about 50% of your games.