Partial Answer
Here is the solution for the Sudoku, H is 'H'ighlighted with yellow color.
As pointed by Deusovi, this is:
Herugolf puzzle
And here is the solution.
Now it leaves howThanks to Johnson, to extract the final answer.:
For each row, mark all cells with no line passing them. You will see that sometimes it is just a single marked cell or two adjacent marked cells. We can then treat them as Morse code!
-- -.-- -. .- -- . .. ... ... ..- -.. --- --. --- .-.. ..-.
Resulting "my name is sudogolf".