2006 is 20(!) years ago, the elections had a 70% turnout, and Hamas received only 44% of the vote.

Considering that about 60% of the Gaza population is age 20 or younger, that means about 18% of the current population voted for Hamas.

And of course Israel directly helped this by arresting a huge number of Hamas politicians right before the elections, and openly interfering with the election process in general.

So no, Hamas does not represent the will of the people in Gaza, and calling it "democratically elected" is at this point a straight-up lie.