For all wells drilled 2000 to the present (and numerous older wells):
Go to the Wellogic. In the search area choose your county from the pulldown list, then your township, then your section. When you click 'go' a new window will pop up with a list of all the recently drilled wells in that section, and some pre-2000 wells. You will be able to pull up the PDF well record from there.
EXAMPLE
For wells drilled 1965 to 1999:
Scanned Water Well Retrieval System
They are arranged by public land survey system description. All the wells within a single section (square mile) are grouped together in a single PDF file. They don't appear to be in much order. The address listed on the sheet is only sometimes the address of the site. The land owner's address on the right side of the page will not necessarily be where the well was drilled. This means you have to pay close attention to the description of the location of the well, which is sometimes provided on the left side of the page, and often in the legal description at the top of the page.
Example