Do I have bulging eyes or ptosis? Why does one eye have hooding and the other does not? (Photo)

It appears you have left upper eyelid ptosis with brow compensation (so the left eyebrow is higher). See an oculoplastic specialist for proper evaluation.

There is compensatory brow elevation that is more dramatic on the left side which is compensating for the greater degree of left upper eyelid ptosis.  This pulls up the fold more on the left side so it looks like you don't have a fold.  Also you have bilateral upper eyelid levator tendon disinsertion ptosis.  To surgically correct this, you will need bilateral anterior levator ptosis surgery.  This needs to be combines with an anchor upper blepharoplasty.  The quality of the photos is very poor.  Ultimately, there is no substitute for a personal consultation.