Add properties and view binder for bookmark search bow.

Bug: 1439583
Change-Id: If1eefe5690b18b5194b331fe173f6e918ecc2c35
Reviewed-on: https://chromium-review.googlesource.com/c/chromium/src/+/4567788


Code-Coverage: Findit <findit-for-me@appspot.gserviceaccount.com>
Reviewed-by: Brandon Wylie <wylieb@chromium.org>
Commit-Queue: Sky Malice <skym@chromium.org>
Cr-Commit-Position: refs/heads/main@{#1149422}