I don't think attempting to absorb thousands of years of world history would be the best way to approach the subject, and two months is ambitious even for that kind of cursory overview.

History really becomes enriching when you can engage intellectually, what you would be engaging in is a barebones sketch - some themes or correlations might stand out but there would be no substance to them. I would suggest choosing a topic which lights a fire under you, and then further refining to a particular region and period. This might be magic in the late middle ages of Europe, studying the patrician class in Imperial Rome, or the expansion of the frontier in America. Themes can stretch across history, for example I took a comparative module on peasants which included fourteenth- to sixteenth-century England and Germany, pre-revolutionary Russia, Imperial Japan, early twentieth-century Mexico. Within that I focused, personally on riots and rebellion. I'm personally not a fan of attempts to trace a single phenomena throughout history (warfare and military history seems quite inclined to this approach). While comparisons are obviously useful they are most revealing when used in a Weberian ideal types manner.

A final point of dissuasion: such an approach leaves you very open to being influenced by an ulterior motive - especially if you are referred to out-of-copyright books. You will not be able to unpick ideological interpretations as you will have no other point of reference to signal whether a historian is manipulating the evidence that a wider reading of a particular subject will provide.

If you do decide to continue, or need some inspiration for refining your scope, then there is a book list available from the sidebar.

To start, there is the book list and the FAQ here on AskHistorians.