If one reads in your file as follows and call the result data
data = Flatten@Import["path to timeSeriesData.csv"]
then you will get a staircase plot using ListLinePlot if you set its InterpolationOrder option to 0 as in:
ListLinePlot[data[[;; 100]], InterpolationOrder -> 0]
I am only plotting the first 100 points from data
here since plotting the full 1000 points just results in a dense plot that shows as a single block of color for your particular data set.