Oh ya, the 180 reading is definitely way too high. That's scary. I have hypertension and take losartin. I'm on a low dose and only take it once a day but it did lower my bp substantially. I have familial hypertenion or genetic hypertension and it's made worse by weight I carry (as in I need to lose some weight). Most people do better with blood pressure if they lose some weight. How is your girlfriend in that area? Are there some lifestyle things she could do to help? Does she eat anything on the days that she has the spike as well?
They will likely test her for sleep apnea with a sleep study. If they don't, ask for it. This is a reason for early morning blood pressure spikes like you describe. It also could mean she's not controlled properly on her current BP med regimen.
Early morning bp spikes is also indicative of heart disease. So, yes, see that specialist. When is her appointment. https://www.mayoclinic.org/diseases-conditions/high-blood-pressure/expert-answers/blood-pressure/faq-20058115