echo "<a href=\"peaches/recipes/pdf.php?name=".$row['Name']."\">".$row['Name']."</a>";
On pdf.php page, your variable name will be $name, assuming your register globals is on. If not, you need to get the variable:
$name = $_GET['name'];
I am not sure why you had the back slash in there, but give this a shot... See if this looks right in your URL when you hover over the link...