We meantwere supposed to go see (or: We intended on going to see) the golden leaves of the ginkgo trees, but it was not a good time because the leaves were just beginning to turn yellow.

Last Saturday, I saw some golden ginkgo trees abeside the trail whilen I was aimtrying to hike towards (or upwards leading to) a famous ancient academy in a small village.

I madetook (or captured) a video of them, you can watch it here: https://youtube.com/shorts/39Jj-BmBHsk ¶
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There's a perfect proverb for this kind of situation: 有心栽花花不开，无心插柳柳成阴 ¶
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Literally, it says that one plants a flower but the flowers don't bloom, while she pokes a stick in the mud and it grows into a tree.

ALSO POSSIBLE: As some of you may know, about two weeks ago, I visited a scenic area known for its long history of ginkgo trees with a friendwith a friend long renown for its ginkgo trees.

ALSO POSSIBLE: We mewanted to see thsome golden leaves of the ginkgo treleaves, but it was not a good tim our visit was premature because the leaves were just beginning to turn yellow.

Last Saturday, I saw some golden ginkgo trees aside thea trail when I was aiming to hike to a famous ancient academy in a small village.

I made a video of them, which you can watch it here: https://youtube.com/shorts/39Jj-BmBHsk ¶
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There's a perfect proverb for this kind of situation: 有心栽花花不开，无心插柳柳成阴 ¶
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Literally, it says that one plants a flower but the flowers don't bloom, while she pokes a stick in the mud and it grows into a tree.

This proverb has been translated many ways. Here are two translations:
(1) https://www.trainchinese.com/v2/wordDetails.php?wordId=96230&tcLanguage=en
(2) https://ja.hinative.com/questions/19855608

It means that things do not always turn out as one would expect, w. Well-laid plans may fail, andwhile success may come where you least expect it.

As some of you may know, about two weeks ago, I visited a scenic area known for its long history of cultivating ginkgo trees with a friend.

"Cultivating" is just a suggestion based on the context. "History of gingko" trees seems a bit odd because by themselves gingko trees would just happen naturally. If no one is cultivating them there, then perhaps "...a scenic area known for its gingko trees..." would suffice.

We mewent/wanted to see the golden leaves of the ginkgo trees, but it was not a good time because the leaves were just beginning to turn yellow.

"We meant to" implies that you had an intention that changed or that resulted in something unexpected.

Last Saturday, I saw some golden ginkgo trees abeside/along the trail when I was aiming to hikehiking to a famous ancient academy in a small village.

"Aside" is not a location. When we say "set aside" it means "out of the way" and not "next to".

It means that things do not always turn out as one would expect, w. Well-laid plans may fail, and success may come where you least expect it.

These are two ideas and should be two sentences. Alternatively, you could use a colon or semicolon: It means that things do not always turn out as one would expect; well-laid plans may fail, and success may come where you least expect it.
Or, with a colon: It means that things do not always turn out as one would expect: Well-laid plans may fail, and success may come where you least expect it.
Note that the sentence after a semicolon is not capitalised, while complete sentences after colons are.

As some of you may know, about two weeks agobout two weeks ago, with a good friend of mine, I visited a scenic area known for its long history of ginkgo trees with a friend.

Your grammar is pretty good here, the only issue is it reads a bit wonky from a native. Nothing wrong with the grammar, just not really how fluent english speakers sound. I took out "As some of you may know" cause the sentence was starting to feel like a run on sentence, if it was a detail you wish to include I would suggest the following. "As some of you may know, in the past two weeks, a friend and I went to a scenic area that is known in particular for its long history of ginkgo trees."

We meant to see the golden leaves of the ginkgo trees, but it was not a good time because the leaves wereOur reason for going was for the golden leaves these trees produce, however, to our dismay, they were only just beginning to turn yellow.

Sentences are good. If you want stronger sentences try this.

LThis past Saturday, I saw some golden ginkgo trees aside the trail when I was aiming to hike to a famous ancient academy in a small villagefound myself hiking to a famous ancient academy in a small village when I spotted some golden ginkgo trees aside the trail.

Grammar was good originally, just offered a more advanced version.