Astronaut
The first civilian in space was Valentina Tereshkova aboard Vostok 6 (she also became the first woman in space on that mission).
Tereshkova was only honorarily inducted into the USSR's Air Force, which did not accept female pilots at that time. A month later, Joseph Albert Walker became the first American civilian in space when his X-15 Flight 90 crossed the line, qualifying him by the international definition of spaceflight. Walker had joined the US Army Air Force but was not a member during his flight. 
The first people in space who had never been a member of any country's armed forces were both Konstantin Feoktistov and Boris Yegorov aboard Voskhod 1.
Svetlana Savitskaya
On July 17, 1984 Savitskaya launched aboard Soyuz T-12, together with Commander Vladimir Dzhanibekov and research cosmonaut Igor Volk. On July 25, 1984, Savitskaya became the first woman to spacewalk, conducting EVA outside the Salyut 7 space station for 3 hours and 35 minutes, during which she cut and welded metals in space along with her colleague Vladimir Dzhanibekov. Of the 57 Soviet/Russian spacewalkers through 2010, she is the only woman. The return to earth took place on July 29, 1984.