Hi Alexandra,
it’s nice to hear from you and I must apologise for a very late reply.
I am not sure of the process for Visa application from Ukraine, but I am pretty sure that you can apply for a Tourist Visa or Working Visa and this will allow you to live, travel and work in Australia for up to 12 months. Also, if you work in regional Australia then the government extends your Visa to 24 months.

I hope this helps?

Take care,

Lenny.