I don't know if you were going to use any handshaking for the serial comms or not. From your last message I assume that you are not.
You should set up the send as the microcontroller serial port was set up. I am going to assume that you were sampling with the microcontroller at a periodic rate. Set up a while loop to send out data at that same rate. I wouldn't just load it all in a buffer, you want to make it as similar to the microcontroller setup as possible.
For this type of data, the sampling rate should be low enough that you can read the data without overflowing the FIFO.
Be sure to remember to use a null modem cable to connect the two serial ports. This cable switches the serial send and receive lines so that one serial port send line goes to the other ports recieve line and vise versa.
Good luck
Randall Pursley