Unfortunately no, there is not an easy way to research your family history. However, like most hobbies that are worth your time and effort the payoff is huge because up will be leaving something for future generation to read and understand what their ancestors were like. Don't you wish that one of you ancestors had done that for you.
Cyndi's List has a section of websites for researching Swedish ancestors. http://www.cyndislist.com/swiss.htm There is also a section for Africa: http://www.cyndislist.com/soafrica.htm
Another free online service is FamilySearch.org, they have many free online records and are digitizing more every day. Their website is http://www.familysearch.org/ They also have Family History Centers, you should locate the one in your location and find some there to assist you. If they do have to order microfilm from the main location in Salt Lake City, there is a minimal fee.
There is a site for Swedish research that I am not familiar with but have heard good things about a website that includes an article and many websites is: http://www.genealogi.se/roots/
I'm sure there are more but that's all that come to mind at the moment.