I'm using Otto Friedrich's wonderful work "Before the Deluge" as my source for all of this. If you are looking for a light overview of inter war Germany with an emphasis on Berlin, I would highly recommend this fantastic book.

During the Great War, the Reichstag in Germany was suspended and the Kaiserreich was essentially ruled as a military dictatorship by the German high command at the pleasure of Kaiser Wilhelm II. The Kaiser and his advisors, men like Erich Ludendorff and Paul von Hindenburg, found it nearly impossible to accept that Germany was losing the war and refused time and again calls from more moderate and liberal members of the government to sign an armistice. How the armistice was ultimately signed and the political maneuverings that took place in order to make it possible would characterize the perceptions of the new German government, ultimately making it much harder for average Germans to trust it. That is another story, but it is very relevant to the end of the Hohenzollern monarchy in Germany.

Suffice to say, it was most certainly NOT an easy thing to abolish the crown. Officially, the story goes that Kaiser Wilhelm II was in Spa, Belgium at the Imperial Military Command and abdicated his titles of Emperor of Germany and King of Prussia on the 9th of November, allowing a new German government to form and sign an armistice with the Allies. However, this is not the truth. Instead, although the Kaiser had personally accepted that he would not be able to remain Emperor, he still wanted to retain his throne in Prussia and would not give up either until he had a guarantee. At this time, German soldiers and workers had begun to peacefully revolt across the country in mass numbers. In order to avoid an outbreak of civil war (which was a growing possibility at this point) Chancellor Prince Max von Baden essentially lied to the German people and announced that the Kaiser had indeed abdicated. It would take weeks until Wilhelm II would actually officially abdicate. This was seen as a betrayal of the German people by the new more moderate and leftist government in Berlin, ultimately giving birth to the 'stab in the back' legend.

As to your original question in the title, many monarchists believed the Kaiser's abdication was only temporary and that the Hohenzollerns would soon be back in control of Germany. A noted development was the founding of the German National People's Party once the Weimar Republic was founded. This party was largely composed of wealthy landowners, nobility, veterans, nationalists, conservatives and a healthy dose of anti-semites- all groups that were loyal to the monarchy. Although they were not directly associated with the National Socialists, they are now largely seen as an interim far right party that yearned for a reinstatement of the Kaiser. However, as time went on, it became apparent that many Germans had grown displeased with the monarchy and had no great desire to see a return of the Hohenzollerns, the conservative movement in Germany largely disgraced on many fronts after their defeat in the War.

For many average, older Germans who had grown up under the relatively stable period of the Kaiserreich since it was formed in 1871, the Kaiser was remembered very favorably, especially compared to the turmoil of the Weimar Republic. There was a general sense that without the Kaiser, Germany would be totally lost and never able to recover its greatness. The loss of the monarchy meant more than just the loss of a leader, though. Germany yearned to be an imperial power and this ambition was, in many ways, what sparked the onset of the Great War (though there are of course many more causes). Without an Emperor, Germany could not be an Empire. If Germany wasn't an Empire, it could not be a great power to be taken seriously.

I'm sorry if this has been a bit rambling and I'm sure that others can offer more specifics as to how or what efforts were made to reinstate the Emperor of Germany.

TL;DR The Kaiser didn't want to leave and was forced out. Most Germans were just happy that the war was over, but a minority of die hard monarchists committed themselves to avenge what they saw as a great injustice committed against the German state. Things got away from them.