Thunderbear:
The Sainsmart site is missing a number of links and that PDF is not reliable.
Follow the instructions I have given and you should be able to get it working, if it is a Sainsmart 320X240 TFT screen. 
I found it is necessary to activate the memory file as shown on my system. I am running Win7 on a Dell 780SFF.
Purchasing a "genuine" Arduino UNO or Mega and Shields etc will save you a lot of headaches.
Some of the EBay "stuff" does work, but can be hairy to setup as they are Chinese clones and carry no information nor data support. They Sell - You buy - Goodbye 
You can copy and paste the txt data above and rename it as an .ino file. (Use Notepad++) If you use the basic MS Text editor do not save in ANSI but select Unicode 8.
Or you can go to my web site and download the TXT and INO files (NB Download the .ino or .txt files, not the DIR! place the files in a folder of the same name on your computer) at http://dsmithdale.net/arduino/ There are also some experimental shift register files there and an LED sequential shift register 4 wires in, switching 6 LEDs in sequence with reset in a loop.
Please be aware that the directory structure and the method of loading UTFT.zip and other Libraries are very important for successful compiling of files to your hardware. see tutorials on this and other recognised Arduino sites.
My Arduino page (FTP) is under construction and further details will be uploaded soon. Parent DIR will take you to my main pages.
Cheers Dave