Handelshögskolan i Stockholm maintains an excellent site on the Swedish language, run by Urban Sikeborg. This site provides a wealth of background information on all its topics, as well as audio resources, all in eight thorough lessons. One of the best resources on this site is the audio provided to demonstrate pronunciation and pitch, the mastering of which is important to speaking Swedish well.
The Indo-European Languages service provides one of the best online free resources for learning Swedish. When using this site, be sure to use another in conjunction that provides audio materials, as this site's major downfall is the lack of spoken Swedish.
My Language Exchange is a service that connect two people who speak almost any two languages so they can engage in language exchange. This is important because, unless you live in a community with a Swedish population, you may not have many opportunities to practice with other speakers. While working to improve your Swedish, you can also help your partner improve her English.
Swedish Flashcards is a service that has free and paid accounts that will email you a lesson every day. Flashcards using both words and sentences are available. Flashcards are accompanied by audio and are available for every level between "Complete Newbie" and "Advanced."
Promt Online Translation works as an excellent English-Swedish-English dictionary, meaning it can be used in either direction. To save time when using this service, select the "auto detect" option so you do not have to change your language settings.
Using the vocabulary, phrases and grammar you've learned from sites like Urban Sikeborg's and those of the Indo-European Languages service and Swedish Flaschcards, create a notebook organized by topic so you can review your notes later. Set up regular times to communicate with your language partner, focusing on pronunciation and pitch. Study for at least an hour every day to make good progress. As you progress, consider using offline resources such as Swedish classes to work towards fluency.