I agree with threegardeners ... that spike/stalk will produce new baby spiderplants. The wheat looking leaves will open to become new baby plants. Once they reach a decent size you either leave them to hang from the mother plant or you can snip them off and place them in pots of their own, for additional plants.
Check out some of these photo's in the Plant Database showing flowers and baby plants:
Spider Plant (Chlorophytum comosum)
And, a photo here also shows a mama plant with the stalk and baby plantlets:
http://www.floridata.com/ref/c...
