Looks like you're going for minimalist, not amazing.
Player is a square with 2 square "eyes".
Ground is a line.
controls: left, right, and jump (and double jump)
No enemies, no objective, nothing to collect, only a few bits of ground.
Conclusion: this is like a drastically reduced version of that game that came out in 1981.
Suggestion: if you're going to "remake" a game that is about 40 years old: do it better than the original in some way.
On the up side: you've managed to make a game that's executable, and figured out how to up load it to New Grounds. This is by itself a great achievement, and a promising first step.
Now work on the content portion, and you'll have something worth playing.
3rd time around, maybe you can take it a step further, and make some money off it.
Other notable features:
movement was smooth and easy to control
Speed of movement, and height of jumps, was reasonable
I recognize that the double jump is a "standard" in this type of game, but why have it?
Once you jump, to change your trajectory is just "magic".
Have a reason why you can jump higher.
Some games enable this by firing a "gun" down to give yourself a mid air lift.
Just food for thought.