A friend of mine wrote these sentences as part of a test.

She told me the correct phrases should be:
glow up together
have/host a party
become/be friends
send e-mails
write letters
go on a blind date
talk on the phone

Actually, I don't know the meaning of "glow up", can you please tell me?
I urgently need to know it!!

All the expressions are correct except that first one. I've never heard that one!!

However, it could be a typo, maybe -- could she mean "grow up together"? As far as I know, "glow" is a verb that doesn't need or take any adverb or conjunction or whatever to become a phrasal verb.