It helps less than you would think. Finnish doesn't share any intelligible vocabulary with Hungarian beyond the loanwords that are also the same in English (let alone Turkish or Japanese which are entirely different language families).
Yes, there are grammatical similarities, no that won't help you much at all in understanding or talking to people...
Finish shares root of around 200 words with Hungarian, it's just the languages diverged and got influenced by their respective regions. For starters, both languages use different letters for the same sounds. Hell, Hungarian uses written form of sz for the regular s sound, and written form of s for sh sound. The long ő, in the end of a Hungarian word, has previously been a diphtong öü or eü and even more previously ev. Finnish e/ä is written as Hungarian under one letter of e.
Then you have switches from h to k, as in Hung. hal (fish) = Finn. kala
Then you have switches from f to p, as in fej (head) = Finn. pää, Hung. fészek (nest) = Finn. pesä
Or, the letter n in Finnish is often replaced by ny in Hungarian, as in Finn. niellä (swallow) = Hung. nyelni, Finn. miniä (daughter-in-law) = Hung. meny
Hungarian and Finnish diverged 4500 years ago, and they represent the opposite spectrum of the Ugro-Finn language group. There are 9 languages in the same language group, and the middle parts of it have more in common with both languages than Hungarian with Finnish.
> Finnish is hard just because it's too different from our Indo-European languages mental model.
I'd imagine having this experience sure helps. Lots of people struggle to give up relying on mental translations to/from thoughts in their first languages.
Yes, there are grammatical similarities, no that won't help you much at all in understanding or talking to people...