The Tom Taylor run so far doesn’t rely much on reading previous runs, if you want to start at the beginning of it all you really need to know is that Tony Zucco killed Dick’s parents, Blockbuster is the main villain who is the crime boss of Blüdhaven and that Dick and Barbara Gordon have a long on and off again romance.
However I would still recommend checking out Chuck Dixon’s 70 issue run on the character, as well as the shorter (and not as good) runs by Devin Grayson, Kyle Higgins and Tim Seeley, although Grayson’s is controversial, mostly due to one specific moment in issue 93 which is terrible and deserves all the hate it gets.