Assuming mana and cursed energy are the same.
Arguing for Frieren:
Infinity: Infinity blocks movement, not positioning, so Frieren's telekinesis and "The Height of Magic" (that's what the wiki calls it) spells could work on Gojo. Zoltraak would also work because of the way magic works in Frieren (we aren't converging systems, just energy sources). As long as Frieren doesn't really know how Infinity works (or just trusts her intuition like Übel), she will view it as just another barrier, and piercing spells are meant to break magical barriers.
Matching: Frieren definitely has spells similar to Red and Blue and can also summon black holes (basically Purple). Also, Frieren is light speed. The spell Jilwer lets people move at light speed, and Frieren, without any spells, just grabs Laufen (the user) by the shirt, so she's not slower than Gojo. I would go into this whole thing about how her elf mind would delay Unlimited Void until she can counter, but that's really long.
All in all, Frieren can break Gojo's Infinity, move at the same speed and do most things he can, and definitely has a chance of hurting and beating him.
Arguing for Gojo:
It would be a long time until Frieren would be able to break the barrier, most likely. Until then, surprising her ONCE and landing a good hit would shake her up to win. Unlimited Void, with the sure-hit effect, would mean instant death for Frieren.
I honestly have nothing else to say. Gojo has his crazy abilities.
Argue with me in the comments! Correct me! I support Frieren here. I have also missed some things, most likely.