Service Canadaのページに詳しく載っていますが、32週からMaternity Leave、その前だと医師が必要だと判断した場合Sick Leaveの申請ができます。もしウェブサイトを読んでも良くわからなかったら、電話をすると丁寧に教えてくれますよ。
http://www.servicecanada.gc.ca/eng/ei/types/special.shtml#Qualifying
The mother can start collecting maternity benefits either up to 8 weeks before she is expected to give birth or at the week she gives birth. Maternity benefits can be collected within 17 weeks of the actual or expected week of birth, whichever is later. Please note that the date you file your claim is very important in order for you to receive the maximum maternity benefits you are entitled to. If you are unsure about your most advantageous maternity period to receive maximum benefits, please contact us. If the actual date of birth is different from the expected date of birth, it is very important that you provide this date as soon as possible after the birth of your child. Please contact us at 1 800 206-7218 from 8:30 am to 4:30 pm and press "0" to speak to a representative. You can also write us or go in person to your Service Canada Centre. This way we will be able to determine the most advantageous maternity period, in order to receive the maximum maternity benefits you are entitled to.