#Google Sheets, 76 bytes
=ArrayFormula(Join(,Text(Code(Mid(A1,Row(Indirect("1:"&Len(A1))),1))-96,"00"
Sheets will automatically add three closing parentheses when you exit the cell.
Input is in cell `A1`
`Indirect("1:"&Len(A1))` returns a range as tall as the input is long.
`Row(Indirect(~))` returns the row numbers, so it's a list of numbers from 1 to the input length.
`Mid(A1,Row(~),1)` returns each character from the input, one at a time.
`Code(Mid(~))-96` returns the ASCII code for each character, down-shifted so `a` = `1`.
`Text(Code(~),"00")` pads the result above to two digits.
`Join(,Text(~))` joins all those padded results without a delimiter.
`ArrayFormula(Join(~))` makes all the stuff above operate on arrays. Without, the result would just be the first padded alphabet code: `helloworld` would return `08`.
[![Example][1]][1]
[1]: https://i.sstatic.net/V9Rgz.png