Re: Using "Let's get..."
Let's get to... means you want to start doing something.
Let's get to work -- Let's start working.
Let's work now and eat later -- not a suggestion that we START to work, but simply to work.
Let's get moving -- Let's start to move.
Let's move it, people! -- we may already be moving, but what this means is "move faster."
So let's get to know each other means that you want to start the process of learning about each other.
Does that work? What exceptions can we think of?
I'm not a teacher, but I write for a living. Please don't ask me about 2nd conditionals, but I'm a safe bet for what reads well in (American) English.