These are terms of stereochemistry, the study of the three dimensional structure of molecules.
Chiral Molecules are not superimposable on their mirror image, having the property of chirality, or “handedness”. The token example is a comparison of the right and left hands. They are similar; and when facing, palm-to-palm, are mirror images of one another. If one places the right hand’s palm on top of the back of the left hand, though, we see that the fingers don’t align. The hands are mirror images, but cannot be superimposed. Your hands (and feet) are chiral.
I’m not sure what your background in O. Chemistry is, but the Carbon based science depends upon Carbon’s ability to make four bonds (due to hybridization, and you can investigate hybridization yourself if you want). To explain for this thread, if Carbon (C) is bonded to four different molecules, or four different groups of molecules, then it is said to be a chiral, or a chiral center (stereocenter). C bound to four different groups means no internal plane of symmetry, and so chirality.
The L and D forms of a protein refer to the property of optical activity. If a substance is capable of rotating the plane of polarized light, then it is said to be optically active. There are two directions of rotation, and one method of nomenclature uses the letters L and D to refer to the direction of rotation. L and D forms are non superimposable mirror images of one another, they are enantiomers. This is an outdated system that has been largely replaced by the R and S method of notation. The composition of the stereoisomers are the same, the physical properties (freezing, boiling, etc.) are the same, BUT, they are not recognized by our enzymes the same way. Enzymes require a specific “shape” and composition specific sites to do their work, and our enzymes recognize only the L forms of AA’s. Maybe this is what your colleague was referring to, maybe not.
Molecules can, with time, and heat, and under other conditions, change, at random, from one “hand” to the other. This process is known as racemization. If the trend is a shift from the predominant L to the D form, eventually the concentrations of the two will equalize, and reach a 1:1 ratio. This may be one method, like C dating, to date organic materials.
Glycine is an amino acid, and, like TxDoc indicated, a building block of a protein. It is unusual because it contains an “extra” Hydrogen (H) group. All AA’s are bound, at the central (alpha) C, to one H, to one amine group, and to one carboxylic acid group. The difference in the 20 AA’s come from different “side chains” attached to the C. Glycine’s side chain is a Hydrogen, so because there are two hydrogens, the AA doesn’t have bonds to four different groups, and so isn’t chiral. The L and D notation doesn’t apply.