For me, iIt’s exciting to stand in front of many people and present my ideas.

Your grammar isn't wrong, but using "for me" sounds unnatural.

"A lot" instead of "many" would sound more natural too, but that is usually used in more casual speech.

I speak clearly and feelconnect with the audience.

"Feel" doesn't make a lot of sense here. I'm not sure if this is exactly what you meant, but in this context "connect with" makes more sense.

BuIt also it helps me to grow pprofessionally and improve my communication skills.

Sentences technically aren't supposed to start with "but". It's a particle that explains something different from what was being said. "To" is not needed.

Great use of vocabulary!

That is what I cwould say, but I hate public speaking.

This one is a little hard to explain...

"Could" is used to talk about things that someone can do in the future with nothing getting in the way.
Example: "I could go to the store on my bike."

"Would" is used to talk about things that someone wants to do but can't because of something getting in the way. Like not liking public speaking!
Example: "I would help you study if I wasn't busy."
This can also be implied sometimes based on context.
Example: "I would like to get inside." (The speaker is talking to a guard in front of an exclusive club.)

Commas are also used in front of conditional particles like "but".

I am definitely not a good speaker and never have been.

"Have" makes this sound more natural.

UI usually I say that I have a strongbad cold , and sorrypologize a thousand times but this time please, and beg them to do it without me.

"Strong" works only looking at grammar, but "bad" sounds more natural.

There are two ways this could be corrected. Either way, this is a list. Lists of three or more things always need commas separating each thing.

The first one makes the sentence have a list of actions: "Say I have a bad cold", "Apologize a thousand times", and "Beg them to do it without me".
Apologize means "say sorry", so I felt like that made the most sense.
Beg means "saying please a lot".

The other one, that changes your words a lot less, would be making the sentence a list of phrases:
Usually, I say: "I have a bad cold", "Sorry" a thousand times, and "this time please do it without me".

Very, very funny by the way.

But also it helps me to grow pprofessionally and improve my communication skills.

That is what I could say but (actually) I hate public speaking.

The addition of "actually" is not necessary, but it helps show the contrast.

I am definitely not a good speaker and never have been.