Hi Julie,
Welcome to the wonderful world of gardening and the bane of every gardener - weeds!  Not sure why you would cover the ground with new soil unless you removed some. I would wait until the grass dies and then dig out the grass, being careful to get as much of the roots as possible and wear gloves to protect your hands from the chemicals. I find it's best to weed within a day or two after a rain or a good watering. Be sure to mulch the flower bed and dig a shallow trench around the bed so the grass from the lawn won't invade so quickly. See 'Dropped-lawn edge' here.
http://www.hgtv.com/hgtv/gl_design_paths_walkways/article/0,1785,HGTV_3567_1398447,00.html
Newt
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When weeding, the best way to make sure you are removing a weed and not a valuable plant is to pull on it. If it comes out of the ground easily, it is a valuable plant.
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