There is no way to print a simple account register, just as you see it on the screen. The problem is that printing from a register offers only two options in a "Format As" drop-down menu: "Transaction Detail" or "Category Detail". What is needed is a third option: "Transaction Summary" or "Transaction (without splits)".
The problem with the current Transaction Detail is that it shows each split line as a separate line in the report. If you want a report that looks like the transaction register -- without splits -- there is no way to do that currently. There should be an option to suppress split lines. (There is also no other way to create such report using any available options on the Reports menu.) This option should also apply to exporting an account register.