Here is a guide on how to find the Library space in the room reservation system, as well as how to add the calendar to your google calendar so you can review its availability.
When you make an event on your Google Calendar, click on the "Add rooms" link as shown in this screenshot:
This should take you to a screen where you can see all available rooms. For me the Library is listed under "Suggested rooms," however if you do not see it there, you can click the little down carret button for the "60" heading to see all rooms at 60 Garden street. Select the room, then click the back arrow at the top of the window, to the left of "All rooms & resources" to go back to your calendar event details.
If the Library does not appear under the "60" heading (or it appears but it is crossed out), then it already has a booking that overlaps with the time you requested.
If you want to see the Library reservation calendar as a whole (or any rooms calendar), in your google calendar you can click on the plus button next to "Other Calendars" in the left menu, and select "Browse Resources"
This will take you to a screen where you can pop open "60" using the down carret button, and then check on any room who's calendar you want to see quickly. This will add that room's calendar to your calendar.
For example, here I have the Library and B-106 conference room showing on my calendar.
