Is it permissible to communicate continuously with a beloved person without the family's knowledge, and is love itself permissible?

It should not be stated unequivocally that love is permissible (halal), for some forms of it are praiseworthy, such as the love of Allah and His Messenger, and some are innate, while others may lead to committing forbidden acts, thus becoming forbidden (haram). A woman's contact with a non-mahram man without a legitimate need is forbidden. Therefore, if the aforementioned love involves a non-mahram person, it is forbidden because it led to committing a forbidden act.