Quote from Dakri >>

Im an air genasi monk, so i have this spell, for race, and im a monk, could i use it whith unarmed strike? So i do tbe damage on hit and the spell damage? Id the answer is no, as monk u can use ur bonus action to male 1 unarmed strike if u used ur action to attack, could i use sholing grasp as action and still use my bonus action to unarmed strike? 

While you can definitely flavor Shocking Grasp as if you strike with your fists while casting, that doesn't mechanically change anything about the spell. It's still Casting a Spell (not an Attack action), using your Spell Attack (not your Melee or Unarmed attack), dealing the spell's damage (not your Unarmed Strike dice).
It is not an Attack action, so Extra Attack, Martial Arts, and Flurry of Blows don't trigger.
It's not a Melee Weapon Attack, so you cannot apply Stunning Strike, (or features that require that).
It's not an Unarmed Strike, so any features that check Unarmed Strike don't apply.

If the power of the shock that has been administered to the creature was debilitating enough then all one has to do is wait to see and make sure that he's NOT! going to be able to get up and move to cause any more type of danger and dangerous behaviors.

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Quote from CreepingButtercup >>

If I already have "alter self" running and have chosen the natural weapon option to add talons to my hands, does this mean that I gain the +1 bonus to hit if I try to touch a target for "shocking grasp"? I see no reason why not.
Furthermore if I hit do I inflict both the damage from the talons and the shocking grasp as it is all just one action?

No to all of that. It's not unbalanced, and a generous or flexible DM might allow it, I would. But if we're just talking about the rules, then none of that works. It is a spell attack, it won't benefit from +1 natural weapons. 

Could be cool that if im a monk, i could ad the unarmed strike damage to the spell, since im landing a hit, it would be a hit+electricity.

Quote from Tony1Adobe >>

Way I see it, you could build a hit-and-run Wizard around this...

Granted, Wizards have no business being in the thick of melee...but cast "Expeditious Retreat" on one turn for bonus movement...

On subsequent turns, bonus-action Dash and deliver a "Shocking Grasp".

If it hits, proceed to retreat out of there with your bonus movement.

If you miss..."Misty Step" to teleport to safety without provoking attacks of opportunity.

None of this breaks the concentration on "Expeditious Retreat"; thus, you are providing unique melee capability, while expending minimal spell slots...which you get (mostly) back on a short rest.

For your Bladesinging wizard ;) Later when they make extra attacks, one of them is allowed to be a cantrip!

Could you like, charge a projectile with it to give it the spell effects to the projectile.

Its for druids