Generally. The Nazis earned about 18% of the vote in 1930, making the 2^nd biggest voting bloc in parliament, and in 1932 Hitler came in 2^nd in the presidential race behind von Hindenburg, getting 35%. Following a few more elections that didn't produce a parliamentary majority, Hindenburg appointed Hitler as chancellor over a coalition government.

Where things get shady is with the election in 1933. First, there's the Reichstag fire, about a week before the election. Historians are still arguing about who set the fire; it might have been Communists, and Hitler just exploited the opportunity, or it may well have been Nazis running a false flag operation. Regardless, following the fire, Hitler persuaded Hindenburg to pass an emergency decree. This gave Hitler the power to order widespread arrests of Communists, and the German Communist party was effectively outlawed in advance of the elections. At the same time, the resources of the government were put into mobilizing support for the Nazis, who achieved about 44% of the vote. While not an absolute majority, they were able to mobilize enough support in Parliament for Hitler to be granted dictatorial powers.

Ian Kershaw's two-volume Hitler is the standard if you want to learn about the man. His ascent to power is covered in volume 1.