I am looking to start a small indoor garden in two sunny windows with some grow bulbs available. I want to grow plants with fragrant flowers only.

I have a fragrant everblooming rosebush that I only just got "Sun flare"-floribunda. It came from up north, so it only just left its dormancy. I was looking for "Lakeview" but I learned they have been banned in Florida because they host some kind of crud. What would be good choices for fragrance plants that flower more than once?

Rose (Rosa 'Sun Flare') sure is a beauty! I could not find any information anywhere for a Rose named Lakeview so I'm wondering if you are referring to the Jasmine by that name? Orange Jessamine (Murraya paniculata 'Lakeview') The plant gets quite large but I guess could be trained to stay small in stature for indoor window growing. http://www.plantbook.org/plant... I hadn't heard that Lakeview Jasmine had actually been banned from Florida but I do remember reading some time ago that there was concern about the Psyllid moth that causes citrus greening because Murraya paniculata is related to citrus. If you are anywhere near Davie, Fl, you might give Flamingo Road Nursery a call to ask if they carry Lakeview Jasmine:
http://www.flamingoroadnursery...
http://www.flamingoroadnursery...

I see you are in Broward county but have your zone listed as 9a ... Broward is 10a or 10b as shown on the maps here:
http://www.bing.com/images/sea...
http://www.bing.com/images/sea...

The only plants that come to mind right off the top of my head that will do well in a sunny window are Hoya, they bloom at different times of year and some have extremely fragrant blooms: The Hoyas Database

You can use the advanced search to select "fragrant" and any other parameters to suit your needs:
http://garden.org/plants/searc...

If you have outdoor gardening space, it might be easier/more rewarding to grow the flowers in the ground outside, and pick them to bring inside in a vase when the opportunity arises.

Many plants also have fragrant leaves. Species from the Plectranthus genus come to mind. They don't mind the lower light inside, and one can ruffle the leaves to experience the fragrance any time of year, whether blooming or not, though it's more of a savory fragrancs vs. a floral one.