I have a normal insurance from my workplace (it is like all other corporate insurances). Am I exempt from Québec Prescription Drug Insurance Plan?

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Yes.

In the "Quebec Prescription Drug Insurance Plan" section (Provincial > Quebec Prescription Drug Insurance Plan), select Box 14 and if you had private company insurance for the whole year, "This covers my situation". 

[vpastukh]

What if the coverage was for the half of the year? How we can mark it in the system?

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If you contributed to a group insurance plan through your company for PART of the year, you would select:

1. "This does not cover my situation"
2. answer YES to "You were covered by basic prescription drug insurance provided by a group insurance plan of which you were a member, or your spouse, mother or father was a member, and this plan covered the cost of medications." and click Continue
3. select the months where you were COVERED by the group insurance plan.