Is there a word specifically referring to the stand upon which a large book is displayed, opened to a page?
Solution 1:
A lectern is a reading desk, with a slanted top, usually placed on a stand or affixed to some other form of support, on which documents or books are placed as support for reading aloud.
Solution 2:
It is just a display book stand. You might need a lectern or Shtender (for DavidM) if the main purpose was someone reading at the "stand".
Also if it is for a Bible and you want something grand then you may want an ambo or pulpit.
Solution 3:
"Book stand" is the natural choice.
A tall book stand such as you describe is a "freestanding book stand". Woodform, Inc. uses this term, and they seem to know what they're talking about! They also refer to a "dictionary stand".
Otherwise, a "podium" is
a stand with a slanted surface that holds a book, notes, etc., for someone who is reading, speaking, or teaching
Or, if you want get poetic, there is "pedestal" or "plinth".
Solution 4:
Various terms are used:
Book cradle of book exhibition cradle (source, source) are used for museum displays.
A tradename for a purportedly superior book cradle is the Benchmark Butterfly Bookmount. (source)
A search of book cradle shows that book stand (mentioned by nxx) is also used, apparently for less demanding displays.