No Problem!

There are a few main ways to say "you're welcome" in French:

• Je vous en prie / Je t'en prie

I feel this is a little more formal than the others, but is the canonical French response to "thank you". In some sense, it can be equivalent to "don't worry about it".

• Pas de problème

Google translate was right. It is widely used, it's informal and it likely comes from English in the first place.

• De rien

This phrase likely comes from the Spanish de nada. Rien means "nothing", so it could be somewhat analogous to "don't give it a second thought". But shorter and more informal.

• Bienvenue

This is the literal translation of "welcome". Very used in Canada, but less so in other French-speaking countries as it is considered an anglicism. Its correct use is mostly one of greeting or of appreciation, like when you say, for example, that relief is welcomed.