Is this paragraph grammatically correct?
John Smith was born in Netherlands, on the 21st of May 1981. He received the B.Eng. degree in Computer Science with specialization in Network Engineering from The Hague University of Applied Sciences, Hague, Netherlands, in 2013.
No, you should not. You should say he received a Bachelor's of Engineering degree, not the. I'm not sure 100% the reason, but I think you tend to use the if the thing you are talking about is the subject of the phrase, and it's a specific one.
For instance:
The Bachelor's of Engineering he earned gave Timmy many opportunities.
However, a similar sentence without it being a specific degree we're talking about could be:
A Bachelor's of Engineering degree can give you many opportunities.
Hope that helps!