i'm really close to doing the same thing, except with a Caprice LT1 instead of an LS1. my T Type has a regular 231 with the '84 Turbo goodies on it, and the stock trans is in pieces on the shelf. i figure the LT1 with a 700r4 would make the car fun to drive while i build a "proper" Buick V6 and 200 4r trans to put in it. i'm thinking a 4.1 with some minor upgrades eventually, if i can find a good core to build from.
with the power and torque of the LS engine, you won't need to worry about adding a turbo. it will be fast enough without it.
it should be easy to physically get the motor into the car- it will bolt right up to your stock trans with only a special flexplate adapter and tv cable. bolt a set of small block frame mounts to the frame and either make or buy some motor mount adapters that use the stock small block "clamshells".
there, the motor is in the car and you are down to hooking stuff up.
you gotta figure out the exhaust- i'd try the stock manifolds, and only get some swap headers if the stock manifolds don't clear.
i'm sure the stock fuel lines in the car can be made to work with the LS fuel rail with a little creativity, and Camaro radiator hoses should get that part of it all hooked up.
a little bit of wiring, and you are good to go.
it shouldn't be too hard to do this without hacking up the car- the stock ecm and wiring can be removed and put on a shelf somewhere, and you can make adapter connectors for the few wires and lines you need to hook up under the hood. keep all the stock stuff to put back in the car some day if you decide to sell it- a GN without a turbocharged Buick V6 is just a fancy Regal to someone looking to buy one.