Im going to assume the studio will have the following things, as you will need them.
Light meter
Flash sync lead/adapter
Stands.
Studio Flashes
Softbox
Reflector
Backgrounds.
Most will have all, i would hope so considering your renting it out, but you need to check
First thing to consider is the background, if its white it will be a different set up to if its black, or a coloured/picture, or even a wall, il try to give you an idea on how to do all of them. Basically you have to over expose a white background, underexpose a black and in between for colour. (this all really depends on what type of studio it is mind)
Firstly position your model. My advice here is about a metre or more away from the background (assuming its a paper one) as it will lessen harsh shadows and give you room to fill light into the background.
Position model in the centre, you have to options now, 1 flash with a softbox on one side of her, and a reflector on the other or 1 flash with softbox above your own head and face centre on. (if your moving about a lot without a tripod then a reflector you move around is a better option)
Take the light meter and set it to what aperture you require, connect it via the sync lead to the flash and place infront of models face (assuming you know what a light meter does and how it works) flashes will go off, and light meter will give you the required shutter speed. Adjust the flash intensity untill you get a acceptable reading aof about 1/125s. Thats your model exposed correctly.
Next you must exposure your background.
White backgrounds require you to double the intensity of the model flash so that when you use your camera set to expose the model perfectly (based on you initial light metering) you get an over exposed background which is nice and white.
Do this by setting up to flashes either side behind the model pointing at the background with no soft boxes, remove the model from the scene and sync one flash, set the other flashes to go off via remote. The light reading taken from the furthest point must be 2 stop above the model reading, so if your model exposed at 1/125 you need the background to expose at 1/500
Colour background need to be exposed at the same or 1 stop above
Black backgrounds need to be exposed 2 stop below, say 1/40 or below. (you can even use lighting below the models back point at her for artistic effect)
If the studio has wall spaces and seats for fancy work then you will require either 2 softboxes or 1 and a reflector, apply the same principle of taking a light reading while synced to the light meter.
If you can use a light meter, set it to f8 and then adjust the flashes untill it gives you a reading of above 1/60 at a minimum. (as she will be so close to the backgrounds the should also expose fine)
Do not use the flash on the camera it will cause shadows on the face.
Hope that helps, ask any question you may have.
