(Source)
Sort of, but not quite.
NSDAP (the Nazi Party) won a plurality of seats in the Reichstag (Parliament), but was unable to form a majority government because the Communists won the second-greatest number of seats, and while neither party won a majority, they collectively won enough seats for neither one to be able to muster enough support from the other parties to form a working majority.
I don't remember the exact details (I'm sure someone else can elaborate), but basically the Nazis did their best to paralyze the government. Eventually, there was an alleged terrorist attack (actually staged by the Nazis themselves) that convinced (independent) President Hindenburg to name Hitler as "Chancellor" in exchange for the Nazis agreeing to form a coalition government with other parties. At the time, Chancellor was a largely symbolic and ceremonial role.
The Nazis then did what would, in computer security terms, be classified as a complex multi-stage exploit. They systematically got Parliament to pass a series of laws that appeared reasonable and innocent on their own... but collectively, allowed the Nazis to seize power and neuter their opponents before anyone had time to react against them when Hindenburg died (of old age) in office.
Basically, the Reichstag passed a bunch of laws that the Germans didn't mind giving to Hindenburg (a revered war hero whose repuration was pretty much bulletproof, even among Germans who didn't agree with him), then passed a bunch of laws giving tremendous power to the President's Cabinet (also seen as relatively safe, because Hindenburg made a point of picking Cabinet members who tended to squabble with each other so he could appear to be less partisan and more impartial), and finally passed a law declaring that if the President died in office, the Chancellor would immediately become the President. Hindenburg died, Hitler assumed the powers of President (while nominally remaining Chancellor), quickly replaced the Cabinet members with Nazis, and practically overnight set into motion a plan that rapidly and systematically entrenched Nazi authority over everything.
Trivia: in the election where the NSDAP finally managed to win an actual majority of seats in the Reichstag, the Nazis were STILL opposed by more than half of Berlin's voters. They basically took over a capital city whose residents viewed them as barbarian hicks, and who were literally SEETHING with rage when the Nazis made their party symbols the official symbols of Germany itself and forced Berliners to display them publicly.
More trivia: even at the height of their power, there were limits to what the Nazis could get away with. When word got out about the policy of killing terminally ill and disabled patients, there were large public protests even in cities like Munich, which was LITERALLY the cultural and political center of the perceived Nazi heartland. Average Germans might have willingly looked the other way as people they disliked were rounded up and sent to concentration camps, but they absolutely drew the line when their grandmother, crazy uncle, or handicapped child or nephew ended up dying (along with the entire population of whatever medical facility they were being treated at) literally a few days after they were last seen in perfect health, from some alleged disease that normally takes weeks or months to kill amidst multiple rumors that the government was killing off "burdensome" patients.
The point is, even at the height of Nazi power, their power over Germany itself wasn't quite absolute, even though it might have seemed like it from the standpoint of any one individual German (who would have been unceremoniously killed without a second thought by the Nazis). Part of the reason WHY it was possible to De-Nazify Germany after WWII was because even though a majority of Germans were openly (if not enthusiastically) complicit in the Nazis' power, there was still a very large plurality of Germans who completely HATED the Nazis during the war, and hated them even MORE after the Nazis essentially brought about the complete and total destruction of their country, including its defeat and partition among the four allied powers.