I have create a view based on the template. The events are shown up properly as a link in the calendar block:
How to I add also the event name and time (similar to the month page)? i.e.:
Do you mean you would like to add the event name and time to the calendar you have provided on the top? If that's what you're asking, I don't think you can, and that is what the month page is there for. In Views, can you make the month page a block instead and place that wherever you need it?
Go to Structure -> Views -> Calendar View
and then under Displays
click Block
. Next, under heading Format
click Settings
next to Format: Calendar
and choose No
for Display as mini calendar