Well, when I say suspending the government, I mean she puts parliament on hold, not sure if that was clear.
Either way, the thing is that she has done it. Recently. There were plans in parliament to get together and force a federal election, which our current PM was afraid he would lose, I suppose. So, he calls up the Queen or the Governor General and asks her to prorogue parliament, and suddenly he gets a nice vacation and no federal election threatening his position.