When we form an indirect interrogative in Italian, usually the verb of the subordinate clause appears in the of the verb, like faccia, the present subjunctive of fare(to do), in the example above.
However, in colloquial settings people may put the verb in the instead. In this case, this is how the sentence above would look:
Mi domando che tempo farà oggi.
I wonder what the weather will be like today.
Or even...
Mi domando che tempo fa oggi.
I wonder what the weather is like today.