Not bibliophile, or really anything "biblio-" because that means a love of books, which might mean a collector or someone who loves the books themselves, but not necessarily their content. Also, not words like bookworm, because they refer to the person who loves reading, whereas I'd like a word that describes the act or state of loving to read.
There is the word bookish:
fond of reading; studious
and bookishness for the fondness of reading:
the quality or condition of being bookish
The word has other connotations as well but I think this word is the closest single word you can get for this meaning.
As I mentioned in the comments, lectiophilia would be a suitable neologism for the love of reading if we follow the path of bibliophilia (and such words suffixed with -philia). Lectio means reading in Latin. In the end, it can always be used as a nonce word.
Bibliophily is the fondness or love for books or reading
describing someone who likes to read as having:
Ballycumber n. One of the six half-read books lying somewhere in your bed.
- (1983) coined by Douglas Adams and John Lloyd.
Librocubicularist (plural librocubicularists). (rare) A person who reads in bed.
Omnilegent reading or having read everything; having encyclopedic curiosity and knowledge: no historians have been more omnilegent, more careful of the document - George Saintsbury
How about the word "bookaholic"? It is an informal word defined as:
A habitual and prolific reader; a compulsive book buyer.
Bookworm (informal) ; noun
: a person unusually devoted to reading and study (Merriam-Webster online)
: a person who reads a lot (Cambridge dictionary online)
The librarian of former times was almost invariably a bookworm
lectiophile - Latin reading lover
The Latin for "I read" is lego, so I suggest legophilia (yes, why not combine Latin and Greek?)
Logophile (like myself).
A lover of words.