I believe you are:
I might have initially guessed you are:
A book, but the initial letters of each line tell me it isn't so!
Inside me lies a pantheon of countless wisdom and knowledge,
Though you may possess most of it in your hand, I'll acknowledge.
Libraries have a lot of books containing information, though most of it is also accessible via our mobile phones
I bring you stories of lives born false and true,
So many of them will make you feel born anew.
Fiction and biographies, both of which can inspire
Now stories aren't just all I contain,
Of advice, or instruction, these I obtain.
The non-fiction section of libraries contain books about skills and knowledge
To many I am loved, to some I am hated,
Reading enthusiasts love a trip to the library, and this also explains the title
However, some find the library boring (e.g. in a school that has a library period)
A child, especially, will become educated.
As above, books can teach us
Bringing feelings of love, laughter and pain,
Or of duty, pleasure, all these you can gain.
Different genres of books tick these boxes - romances, humour, tragedies, etc.
Open to many, the forgetful and careless I detest,
Keepers who protect me, they'll reject my guests.
Many libraries are public libraries
Librarians hate those who lose books, damage, defile, or misplace them