The LiDAR data provided through Equator is sourced from the City of Montreal Open Data Portal. The data was published online in 2015 and consists of millions of high-resolution 3D elevation points. You can read more about the dataset here.
Yes! Contours can be extracted from Equator at the resolution you need. Contours can be exported to a variety of formats including shapefile (.shp) and drawing (.dxf). In addition, digital elevation models (DEMs) are also available.
Contours can be opened in AutoDesk Civil3D (or similar) simply by opening an dxf file or shapefile exported from Equator. This tutorial explains how to create a 3D surface in Civil 3D directly from a shapefile.