1. I'll get you Mr. Smith.

2. I'll put you through to Mr. Smith.
3. I'll connect you to Mr. smith.
4. I'll transfer your call to Mr. Smith.
(Are they grammatical and similar in meaning?)

Yes, all are correct, and all have the same meaning.

Yes, all four sentences are grammatically correct and have similar meanings. They all convey the idea that the speaker will facilitate a connection between the person they are speaking to and Mr. Smith. However, there are slight differences in phrasing and style.

1. "I'll get you Mr. Smith" is an informal way of saying that the speaker will find Mr. Smith for the person they are speaking to. It implies that Mr. Smith might not be immediately available or in the same location.

2. "I'll put you through to Mr. Smith" is a more formal way of saying that the speaker will connect the person they are speaking to directly with Mr. Smith through some form of communication, such as a phone call or a transfer to another department.

3. "I'll connect you to Mr. Smith" has a similar meaning to the second sentence. It suggests that the person will be linked or joined with Mr. Smith in some kind of communication.

4. "I'll transfer your call to Mr. Smith" specifically refers to the action of moving a phone call from the current speaker to Mr. Smith. It implies that the person will be speaking with Mr. Smith directly over the phone.

In summary, while all four sentences express the intention of connecting someone to Mr. Smith, the choice of phrasing may depend on the formality of the situation and the preferred communication method.