Um, I think you have to look for work up until 36 weeks. BG will be in sometime to clear this one up.
I'm not sure if the midwife letter will be enough, you might have to get a Dr letter. In any case I'd say yeah, yeah I'm looking for work....

I remember being on the front desk at the YAL counter when girls come in proudly waving the Dr confirmation of pregnancy saying "I'm 8 weeks preg so I can't look for work yay!". Ahem, sorry. Actually one girl got really angry with me and told me I was discriminating against her....so I stepped away from the desk and showed her my 36 week belly and begged to differ!

ETA - you will go onto Parenting Payment I think after bubs is born. Will you return to study within 12 months? In any case you will get the single rate as no one recognizes same sex couples HA HA HA HA. Its gotta work in your favour sooner or later......