Q. I'm wondering if the ESV Reader's Edition paper shows the writing through the other side much?
A. Depends on what you mean by much. As you can see from the photos below, if you write in the margin with a standard ballpoint, the ink itself doesn't bleed through but the words are clearly visible (and legible) from the reverse side of the page.
Above: The front of the page.
Below: The back of the page.
Feel free to discuss...