Hi Jake,
with --outWigStrand Stranded, STAR will revert the strand of the 2nd read, and create two wiggles, str1 and str2.
str1 will contain reads where read 1 maps to +strand, while str2 - those with read1 mapping to -strand.
Depending on the strandedness of your protocol, you will need assign actual RNA strands to these files, e.g. for Illumina Tru-seq, str2 is +strand and str1 is -strand.
Or you can just check which orientation follows the annotations.
Similar to GeneCounts, STAR does not decide what is the strandedness of your library, it simply outputs both options.
Cheers
Alex