According to Mishneh Torah, Kings and Wars chapter 10 paragraph 9:
A non-Jew who busied himself with Torah is liable with his life112 From Heaven, because others will see him perform Mitzvohs and being engaged in Torah and will be deceived. They will think him a practicing Jew and err after him.. He must involve himself in their Seven Commandments only.
It is clear that a non-Jew must only be involved with the Seven Noahide Laws.
What if this non-Jew is seeking conversion but has reasons holding them back from starting the process and knows that many mitzvah are only for the Children of Israel, wishes to study Torah (Chumash with commentary) because of their love for it and the love of HaShem's Wisdom knowing that it was divinely revealed at Har Sinai. Is this person subject to any sort of punishment? If so, what are they?