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「〜てもらう」 has a basic meaning of "get / make / induce (someone) to do (something)"
In the case of わかる, the form 分かってもらう could mean either "make it understood / make you understand (something)" or "make you accept (something)".
When you further conjugate this with the volitional おう ending, which indicates a potential future act, 分かってもらおう ends up meaning something like "intend to make you understand/accept" or more simply "will get you to understand/accept".
The inclusion of 全部 in the example sentence makes me think this わかる is probably meant to talk about "understanding", so...
would mean something like
'I'm not thinking, "I'll get (someone/you) to understand everything all at once."'
or more fluidly in English:
"I'm not planning to make you learn everything all at once."