My family has a history of high BP during pregnancy. With my first I was just monitored he was induced at 39wks as my BP rose a lot in the week prior.
With DS2 I was on Aldomet from mid 2nd trimester I was going to be induced at 40wks 3 days as even on the meds it had started to get high but labour started in the early hours.
I had no signs of high BP through either of my pregnancies. Towards the end of both I had taken on a lot of water but no dizziness etc.
I have now been left with high BP & take BP medication full time but again it's more family genetics.
My sister was on bed rest for 6 wks in hospital & my niece was born 3 wks early due to high BP.
You will just be monitored regular BP checks, protein in your water & any signs of pre-eclampsia. Don't stress over it if you can - easier said than done but it won't help. Mine goes up with the thought if it being taken & the electric ones make it worse. My BP is better with a stethoscope lol.