You can always check the back of the bobbin package. They list the machines the bobbin will fit.
Your machine appears to take class 66 plastic bobbins. Here is a link to what you need, although this bobbin is probably available at Walmart too:
http://www.sewingmachinesplus.com/se...66-plastic.php
Note that the Sonata 6610 is listed as one of the machines this bobbin fits ("Fits Singer models.........Sonata 6610.......").
Oh, and CONGRATULATIONS on your first sewing machine!!!