Hi skelectronic,
Welcome to EasyEDA.
Single sided PCB's are no problem.
Just put copper only on the top (or bottom if you need an upside down PCB for some reason) layer and no others.
Then run the Gerbers, download them, check them using the recommended gerbv free download and then click on the Order... Shopping Cart icon.
This will open the Order your PCB from EasyEDA dialogue box.
Click on Layer and select 1.
1
Fill in the other options and this will then give you a price estimate.
At this stage you have not committed to buy anything.
If you then click the Order button you will then receive a quote and a link to pay by PayPal.
It is actually not until you have made the payment that you have commited to the order.
See also:
Getting fabrication files
Order PCBs
Easyeda PCB fabrication prices and capabilities
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Brand new interactions and interfaces.
Smooth support for design sizes of over 3W
devices or 10W pads.
More rigorous design constraints, more
standardized processes
For enterprises, more professional users.
Easy to use and quick to get started.
The process supports design scales of 300
devices or 1000 pads.
Supports simple circuit simulation.
For students, teachers, creators.
Brand new interactions and interfaces. 
Easy to use and quick to get started. 
Hi skelectronic,
Welcome to EasyEDA.
Single sided PCB's are no problem.
Just put copper only on the top (or bottom if you need an upside down PCB for some reason) layer and no others.
Then run the Gerbers, download them, check them using the recommended gerbv free download and then click on the Order... Shopping Cart icon.
This will open the Order your PCB from EasyEDA dialogue box.
Click on Layer and select
1.Fill in the other options and this will then give you a price estimate.
At this stage you have not committed to buy anything.
If you then click the Order button you will then receive a quote and a link to pay by PayPal.
It is actually not until you have made the payment that you have commited to the order.
See also:
Getting fabrication files
Order PCBs
Easyeda PCB fabrication prices and capabilities