Hi Tracy,
There is an option to turn off the putting grid, but it won't disappear until you begin to draw back the putter to set the stroke power.
The option itself is located in-game under the MY SETTINGS > Game Options tab in the main menu. From there, select the display tab and use the scroll bar on the right to slide down a little bit to find it.
We don't provide a "completely off" option for the putting grid. I think players would be lost without it.