I don't think it's possible to get that into a Google routine. You may try, setting up a flow that can do the second thing you want, check the weather and if rain is forecast turn on your lights. Then in the Google home make a shortcut that will run that flow. So in theory, you can say"hey Google, good morning AND bla bla (the shortcut to run your flow).
I don't know if Google will run the second command after a routine though, you'll have to test it out, otherwise, you'll have to say hey Google a second time, unless you set the flow to run at the same time your alarm goes off.