The correct expression is 'to get [somebody] to do [something]'. For example, 'I got [John] to do [my homework] for me.' Additionally, the phrase can be used for more verbs than just 'to do': 'Can you get Rebecca to message me back?' 'I will get him to call you.'
You can see that even when the first verb in the phrase is in the past or future tense, the second verb is always in the infinitive form.