I caddied there once, in a pro-am, and played it twice, too. This was 40 years ago, though, so I can only make a few general comments.
A classic-type design, where every hole had character. Plenty of rolling hills and uneven lies in the fairways. Trees, but as I recall they did not impact play much at that time. A drop-shot par 3, a 235 yard par 3. Two par 5's in a row. About 6700 yards long back then. Super-fast greens, at least for muni players: the first putts from our pro-am group sailed 15 or 20 feet past the hole. Beautiful conditioning. Westwood greatly impressed me, much more than Bellerive or Old Warson did. Was my second-favorite course in the St. Louis area in those days, a close second to SLCC.
I was told that Westwood was built as the Jewish equivalent of St. Louis CC. Hopefully some of the St. Louis GCAers can give pictures and better insights.