While I'm sure there are various ways to implement it, I'll tell you how I'd do it.
Use a variable to track the location of the paddle. Use the BUTTON command to get button input from the player. Use said input to change the variable of the paddle's location. Use the LOCATE command to print the paddle at a specified location, determined by the previously mentioned variable.
Of course, this should all be executed within a main loop so that the program runs continuously. At the end of the loop there should also be a WAIT command so that the program runs in a stable manner, and a CLS as to erase the console screen and prevent PRINT clutter.
You could get it to move left and right by using the value returned by BUTTON and using logic gates and constants to build conditionals for modifying the paddle's position value.
The code itself would look something like this...
PP=0 'DECLARE PADDLE POSITION VARIABLE
WHILE 1 'EXECUTE CODE CONTINUOUSLY
'CHANGE VARIABLE USING BUTTON INPUT
IF BUTTON() AND #LEFT THEN INC PP
IF BUTTON() AND #RIGHT THEN DEC PP
'LOCATE CURSOR FOR PRINT USING LOCATE AND THE VARIABLE
LOCATE PP,3
PRINT "=------=" 'PRINT THE PADDLE
'PREPARE FOR NEXT FRAME
WAIT 1
CLS
WEND