do i get tattoo license and become a licensed tattoo artist by just completing tattoo apprentice ship?

Hello, thank you for your question. 

No, you do not get a Tattoo Licence by just completing an apprenticeship. It (fortunately) doesn’t work like that. Licences are granted by your local council and the criteria tends to differentiate town to town, city by city and certainly country to country. 

A tattoo apprenticeship is a long process which requires hard work, dedication and a lot of practice. There is no set completion date of an apprenticeship and you are not just handed a certificate to say you are now professional. Your apprenticeship will end when both you and your mentor are confident you are at a professional level. 

The below three articles should help or failing that, contact a tattoo artist who you are looking to have an apprenticeship under. 

How to Get a Tattoo Apprenticeship
How to Practice Tattooing As An Apprentice
How to Become a Good Tattoo Artist