After beating Whitney, your next goal is to get to Ecruteak City. To do that, head north until you see a funny tree. Go back to Goldenrod City and ask for the spraybottle in the top right house. You can then get past the tree.
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After beating whitney in goldenrod go to the flower shop in the northeast part of the city and the flower lady will give it to you.
after you beat whitney.
You need to get the radio card.
Whitney will start crying. If you run away, one of the lasses will encounter you. Go back to Whitney and she'll stop crying and give you the Plain Badge.
She's on the 6th floor of the Goldenrod Department store.