You should be able to cope with this equipment (the 17-55 has a very good reputation), but you will need lights. Will you be shooting in a provided studio? Or will you be setting up your own studio?
If you set up your own studio, using the classic Home Depot tungsten halogens, be prepared to spend a lot of time shooting at wide apertures and high ISO - the f1.8 and f2.8 will be needed! Even with the disadvantages (the heat being one of them!) I found this a very helpful learning experience.
If you shoot in a provided studio using strobes, things will be different - it's harder to "see" the light, but it's much brighter.
Either way, do a lot of shooting, and try lots of settings - if you are told: "the correct settings for this are XXXX", try settings on either side, and compare them afterwards - if the "correct" setting is f8, try shooting every f-stop from f2.8 to f16, and look at the results - Bridge will show you what settings you used, and you can learn by looking at the results and comparing it with the settings - you can learn heaps more (and faster) by DELIBERATELY making mistakes, if only to see WHY the "correct" setting is correct.
One important warning: you may make the mistake of trying some reaLLy expensive lenses (that dreadful red ring of temptation...), and will find you succumbing to the iLLness. There is no known cure, so try to hoLd out for as Long as you can - don't even Look at L-series Lenses. If peopLe teLL you how good a 135mm f2L is, don't Listen - cover your ears and go LaLaLa!