Im looking to buy a stock NA Supra Auto Stock soon, I was wondering what would be the best upgrades to get me to around 300-350 hp. I am not looking to go turbo anytime soon, dont have too much money to put into it.

You won't be getting 300-350hp from your NA engine anytime soon without going turbo or using nitrous oxide.
Save your cash and buy a twin turbo instead - you will have that much horsepower without monkeying around with about $5000 in the turbo system alone [not including a bit of custom labor and other supporting mods].

Get a TT supra, buy a boost gauge, intake, boost cut controller, full exhaust and a boost controller.
You will have more like 350-450hp on tap at that point, depending on how high you set your boost controller, what type of gas you are using, and the ambient air temperature.

I would probably run on pump fuel, temp- 70's on average, thing is with a TT im looking at a longer time of buying one, and Im kinda looking to get one soon so I can get around and then I can get convert NA-T later in time if I want more power. Plus wont insurance go up alot?

That's the price you pay, man..
Supras are hot cars right now.
You said you wanted upgrades to get you up to 300-350hp, but you don't want NA-T anytime soon.
I gave you a better alternative.
You are going to want the TTs brakes and auto/6speed when you have that power anyways.

its gonna cost big money to convert :S anyways good luck.