Pentium 4s were available in three sockets and one of them indeed was an LGA socket.
1. Socket 423, which is a large (2.1" x 2.1") socket with large pins. Socket 423 Pentium 4s look a lot like Pentium IIIs. This was the first Pentium 4 socket and was used as the socket for part of the first of the four generations of P4s (180 nm Willamette). It was very short-lived.
2. Socket 478, which is a small (~1.4" x 1.4") socket with small pins. It looks like a laptop CPU but with a metal heatspreader attached. Socket 478 was used for the second half of the Willamette production run, all of the 130 nm Northwoods, and the first part of the 90 nm Prescott run.
3. LGA775, which is physically about the same size as Socket 478 but has lands instead of pins underneath. It looks like any other Intel desktop CPU made since the mid-2000s but is physically a little smaller than the high-end desktop/server chips such as LGA1366 and LGA2011. LGA775 was used for most of the 90 nm Prescotts, the 65 nm Cedar Mills, all of the Pentium 4-based Pentium Ds, and all of the Core 2 generation desktop chips.
CPUs generally have markings on them that say what they are, and Intel CPUs frequently also are marked as to cache size and clock speed as well. Intel CPUs will also have an "S-spec" code with five characters starting with an "S", such as "SLANJ" on it as well. Look up that code in a search engine and you will find exactly what CPU you have.