Learn the Swedish alphabet. Although very similar to the English alphabet, there is a difference in pronunciation and there are extra letters not found in the English alphabet. Urban Sikeborg, from the Stockholm School Of Economics, gives an excellent, free online introduction to the language that includes recordings of pronunciation.
Visit the Digital Dialects website, digitaldialects.com, for a visual introduction to the language. This website offers free online games to practice various languages, including Swedish. This is not recommended for higher-level learners, as it is rather basic.
Next visit ieLanguages.com for their basic tutorial that gives you an overview of Swedish phrases and grammar. This gives you a good basis in the language. You might also want to copy some of these words and phrases onto index cards. As boring as learning vocabulary from index cards can be, it does work.
Go to mylanguageexchange.com and sign up to find a native Swedish speaker who wants to learn English. You can do a language exchange that will allow you to practice what you learned. Without practice any language will be quickly forgotten, Swedish included.