As long as you are locked into this kind of thinking your going down a dark path which could get you in a lot of trouble.
Breaking a structural wall is a bad idea know matter how good you think it is.
Breaking up a concrete floor to see water is a bad idea.

Break this cycle and move your attention to the grading outside your home. Or you could listen to the contractors.

 

What would possess you to want to knock out a block in the wall and create a hole in a boat that is already sinking???
Put away the tools, please.

Stopping water from the outside is the best remedy. Proper grading, proper water deflection from gutters and downspouts is also necessary.

 

If it is only in two places dig down the outside and water proof it. Back fill with sandy soil that will allow the r water to drain down.
Block walls a suspect already, quit thinking about damaging it. Is it bulging in yet?

 

If you decide to excavate on the exterior consider a few safety rules so no-one gets buried .

eTool : Construction - Trenching and Excavation | Occupational Safety and Health Administration

www.osha.gov

 

You really need an independent engineering consult. Get an engineer experienced with wet basements to give his assessment, with the proper proposed solutions.
Too many people call contractors out for wet basement advice. Contractors are not impartial; they like to sell their system. One contractor sells inside drain tile solution, another contractor sells outside excavation and waterproofing solution, etc. Pinpointing the causes, be it improper grading, clogged downspouts or gutters, non-functional drain tile, cracked foundation walls, or inadequate gravel backfill, will inevitably save you money, versus the full-blown waterproofing solution often suggested.

 

When it rains, I just want to actually see how this water is getting into the structure. I find it odd that this only happens in like 2 main areas of the basement. If its coming up from the ground, then why doesnt it do this in all areas across this wall.

You have not told us much about your house (location, age, sump pump, etc)
But you have told us you have CMU blocks.
Every mortar joint is a potential leak point. The black tar they put on the outside is not water-proofing, it is damp proofing, because concrete is, no some extent, water permeable.
Once inside the blocks, gravity takes over and the water finds it's way to the bottom course.
But if you don't have a sump pump, your foundation could be sitting in a lake when it rains, so could be coming from interface of wall and slab, or cracks in the slab.
Putting caulking, special paints, etc on the inside of the wall is playing games, but I suppose part of the homeowner learning experience, so go ahead.
Eventually you will be calling back to the contractors that originally told you what you need.

I find it odd that this only happens in like 2 main areas of the basement.

Give it time. Water leaks don't get less over time.