Your primary care provider will continue to be your health resource for the spectrum of things that can happen at any age and especially at midlife: hypertension, sinus infections, asthma, joint injuries, and so on. A menopause care provider is a specialist; gynecology is typically also supported through health insurance (but individual plans vary). Some insurance plans require that your primary care provider provide a referral for "menopause care," which I recommend begin as soon as women are aware of symptoms of perimenopause.
When you're reviewing options for menopause care, look for certification by The North American Menopause Society (and get help from the NAMS website to find a practitioner with the NCMP credential). Certification means a health care provider has completed extra training to gain competency in menopause. (Those who are "members" of NAMS have access to the specialized information the organization provides but are not certified.)