_ _ _ _ _ _ _ (Look) It's almost the weekend, will the temperature get warmer?

Looking should be filled in, but now participle phrases are used as adverbials.

There is no infinitive here. When the infinitive is used as an adverbial, it has a purposeful meaning.

Now participle phrases as adverbials can indicate time, reason, condition, concession, etc. Its logical subject should be consistent with the subject in the sentence, indicating the active meaning. If the action indicated by the present participle occurs before the predicate verb, the present participle should use the perfect form and add Have.