Im a little confused by "decided to reign". Is it like how as a kid you are powerless and teaches cane you, but then as an adult you have power over the next generation? I like heavy as wood and how it connects with the cane imagery

You seem to struggle with rhyme scheme pattern here:

In stanza1. 'School & cool', 'gate & gate' are irregular rhyme. There's no fixed pattern!

Stanza4. 'School' & 'wood' does not rhyme in any way.

And lastly, the basic rhythmic structure of the lines was extended. Take a look at stanza 2, line 4. Stanza 3 line 2. And stanza 4 line 3. This truly, affected the pacing.

struggled with this one, especially the lines saying that "Holding a cane at the gate
. Then I run toward the gate".
How about trying; Holding a cane at the gate
. Then I ran, I couldn't wait.

Don't hurry, think about what to write and make sense. ~ Geezer.
.

and welcome to Neopoet.

In general I like this little poem. I see a slice of nigerian life, when I read it, and it shows how so many aspects of life are universal, no matter what part of our planet we are on.
You do have some problems in places (Onyinyechi (Jackweb) pointed out 'school' and 'wood') but I think in general that this is working pretty well.
One thing I will tell you, is that Nigerian poets are some of the best in our world, and that they bring differences in wording and structure to poetry that I think are wonderful. Do not be afraid to write as a Nigerian, with Nigerian perspective, and Nigerian phrasing and sentence structure.
But you do need to watch for grammatical and syntactical errors, like this:

"Every time I go to school
I see teacher looking cool
Holding a cane at the gate
Then I run toward the gate"

the first three lines are present tense, happening as we read them, but the final line reads as if it is in the past, which can be confusing to some people. If you replace the word "Then" with the word "As", or the word "Before", It makes the entire verse happen in the 'now', as it were, and I think that would make the focus and the immediacy better.
Or, you could use Geezer's suggestion, which would do the same thing, and make the line much less repititious, as well.

The same thing is happening in the last verse, with 'Then I decided to reign". If you use "But then I decide to reign", again it would be in the present, and have more impact. I love that last line by the way, and what you are trying to say with it. It's a wonderful image.

So, take some time to consider how to change this poem without changing the meaning, because in terms of meaning, imagery and impact, I think it works well.
Hope this helps!