"Have you got familiar with new working environment?" Which tense should i use in this sentence?

"Did you get familiar with your new working environment?" and "Have you gotten familiar with your new working environment?" would both be correct, and would mean roughly the same thing, though I would feel that "Have you gotten" would be a bit more formal or demanding than "did you get".

As nick012000 has rightly put it, all of them are correct.

The difference between them, however, rely on the context the sentence is describing.

1. Do you get familiar with new working environments [sic]?

This question is aimed at knowing whether the recipient usually gets familiar with new working environments. That is, if getting familiar with new working environments is something normal/natural/habitual to him. It's like a of the recipient.

2. Did you get familiar with the [sic] new working environment?

This second question relates to a specific point in time. Differently from the other question, which doesn't have any space and time context, this specifically asks for whether the recipient got or didn't get familiar with the new working environment.

3. Have you gotten familiar with the new working environment?

Finally, this last question asks about an ongoing problem the recipient is having, and whether they have improved on getting familiar with the new working environment. As nick012000 stated above, this looks a bit more formal, but I would add that not too much. It's the appropriate way to ask about any developments of ongoing concerns/processes.

p.s.: I've made two [sic] notes. The first because environment in that question should be in the plural form, because the question is general, regarding all environments, not one in particular. The second because the question revolves around a specific working environment, which requires an article.