PyMuPDF is excellent for extracting 'structured' text from a pdf page โ though I believe 'pulling out relevant information' will still be a manual task, UNLESS the text you're working with allows parsing into meaningful units.
That's because 'textual' content in a pdf is nothing other than a bunch of instructions to draw glyphs inside a rect that represents a page; utilities that come with mupdf or poppler arrange those glyphs (not always perfectly) into 'blocks', 'lines', and 'words' based solely on whitespace separation; the programmer who uses those utilities in an end-user facing application then has to figure out how to create the illusion (so to speak) that the user is selecting/copying/searching for paragraphs, sentences, and so on, in proper reading order.
PyMuPDF comes with a rich collection of convenience functions to make all that less painful; like dehyphenation, eliminating superfluous whitespace, etc. but still, need some further processing to pick out humanly relevant info.
Built-in regex capabilities of Python can suffice for that parsing; but if not, you might want to look into NLTK tools, which apply sophisticated methods to tokenize words & sentences.
EDIT: I really should've mentioned some proper full text search tools. Once you have a good plaintext representation of a pdf page, you might want to feed that representation into tools like the following to index them properly for relevant info:
https://lunr.readthedocs.io/en/latest/ -- this is easy to use, & set up, esp. in a python project.
... it's based on principles that are put to use in this full-scale, 'industrial strength' full text search engine: https://solr.apache.org/ -- it's a bit of a pain to set up; but python can interface with it through any http client. Once you set up some kind of mapping between search tokens/keywords/tags, the plaintext page, & the actual pdf, you can get from a phrase search, for example, to a bunch of vector graphics (i.e. the pdf) relatively painlessly.