What does “please bear with me” mean?

Please bear with me is a more polite version of the expression bear with me, meaning “have patience with me.”

It’s typically used along with a conjunction (e.g., “while”), to explain why you’re asking for patience (e.g., “please bear with me while I try to find the correct file”).

Note
Bear and bare are often confused, but in this case, ‘bear with me’ is the only correct spelling.