Use the VLOOKUP function. Your Spreadsheet 2's first column will display the first column of Spreadsheet 1; the same is true for the second column.
Since this is your first sheet, you are free to edit the contents of columns A and B as you choose.
For the Second Sheet add the following functions
Column A - =IFERROR(VLOOKUP(Sheet1!$A$1:$A$1000, Sheet1!$A$1:$B$1000, 1, false), "")
Column B - =IFERROR(VLOOKUP(Sheet1!$A$1:$A$1000, Sheet1!$A$1:$B$1000, 2, false), "")
Now all changes from Sheet 1 will be shown in Sheet 2
I hope this helps you.