1. Turn right, and you can go to the airport.

2. Turn right, you can get to the airport.
[Which expression is grammatical?]

#1 is ok

#2 is a run-on sentence, or a comma splice.

compound sentences (almost always) require a comma

3. Turn right, and you can get to the airport.

What is the difference between #1 and #3?
Are both okay?

Both expressions are grammatically correct, but they have slightly different meanings.

1. "Turn right, and you can go to the airport."
This sentence implies that after you turn right, there may be additional steps or directions you need to follow before you can actually reach the airport. It suggests that turning right is just the first step in the process.

2. "Turn right, you can get to the airport."
This sentence states that simply turning right will directly lead you to the airport. It suggests that there are no other steps or directions required after turning right.

So, the choice between the two expressions depends on the intended meaning. If you want to convey that turning right is just the initial step and there may be more to follow before reaching the airport, then the first expression is appropriate. On the other hand, if you want to emphasize that turning right is sufficient to reach the airport without any additional steps, then the second expression is more suitable.