Assuming you just want the camera to be centered with, and square to, the plane, do this:
Create your plane and orient it vertically either by its “Orientation” parameter or by rotating it in pitch. It’s coordinates should be 0,0,0 by default. Add a camera, which will be created by default at the position you are viewing from. Reset the camera’s PSR to 0,0,0 (shortcut Alt+0), which will place it in the center of the plane and aligned along the Z axis (perpendicular to the plane). Make the new camera active to look through it, and move the camera back in Z (negative Z value) to the desired viewing position.
Hope this helps.

Edit: The above image shows the plane as a child of the camera, which is only necessary if you want to animate the camera and always have the plane facing it. If so, do the parenting after the steps outlined above.