Hello there Kimberly.
I am not a professional editor but I'll give it a shot.
I like the basic drift of the essay, but I think you overuse 'it's' a lot in the first paragraph. I also agree with Agatha in regards to the heavy use of contractions.
It's the blue and gold that's splattered on the cheering faces of Notre Dame students as they wear "The Shirt" to the football games. It's the extensive alumni network and the trees the sweep the edges of the breathtaking grotto. It's reasons like these that further intensify my desire to attend Notre Dame.
How about:
It is the blue and gold paint splattered on the faces of students wearing "The Shirt" cheering wildly at football games, the extensive networks of alumni and, the verdant vegetation that sweep the edges of the breathtaking grotto, that have intensified my desire to attend Notre Dame.
in a setting that mirrors the setting of an experienced researcher's laboratory
Maybe:
in a setting that mirrors that of an experienced researcher's laboratory
or in a setting that rivals an experienced researcher's laboratory.
(was sort of redundant)
I hope this helps.