Does aws apply a charges on default vpc which is created?

There is no charge for the VPC itself.
https://aws.amazon.com/vpc/pricing/?nc1=h_ls

Fees are charged for EC2 and RDS instances running on the VPC.
https://aws.amazon.com/ec2/pricing/on-demand/?nc1=h_ls

Hi, see https://aws.amazon.com/vpc/faqs/

Q. How will I be charged and billed for my use of Amazon VPC?

There are no additional charges for creating and using the VPC itself. 
Usage charges for other Amazon Web Services, including Amazon EC2, 
still apply at published rates for those resources, including data transfer charges. 
If you connect your VPC to your corporate datacenter using the optional hardware 
VPN connection, pricing is per VPN connection-hour (the amount of time you have 
a VPN connection in the "available" state.) Partial hours are billed as full hours. 
Data transferred over VPN connections will be charged at standard AWS Data Transfer 
rates. For VPC-VPN pricing information, please visit the pricing section of the Amazon 
VPC product page.

But, if you add resources to the VPC above, charges may apply. So, use https://calculator.aws/#/createCalculator/VPC to evaluate the costs before your create your VPC with associated resources if needed

Hi, as per the question, their can be 2 scenarios

• new account with free tier active - few free services on hour basis
• your account surpassed free tier 1 year - some services with limited free quota

Basically, charges are not applied directly to VPC, They are applied on services used inside that VPC. Like, Data transfer charges, Nat gateway charges, and many more. You can visit this link for more information about all free stuff https://aws.amazon.com/free/