I don't follow you, Celerons and Pentiums are two different proccesors, you can't have a Pentium 4 that is a Celeron. Also, Intel is a company which makes both Pentium and Celeron proccesors, so you can't say Intel vs. Celeron as that is comparing a manufacturer to a type of proccesor made by the manufacturer.
Anyways, the big difference between a Pentium 4 and a Celeron is the cache, Pentium 4s have a 1mb cache and Celerons have a 128kb cache, although neither have an L3 cache, which are found on the newer Extreme Edition Pentium 4s.
Basically this means that the Pentium 4 can proccess more information without having to go to the memory or hard drive, which thus makes it faster than a Celeron of the same clock speed because it cannot proccess as much information in the cache without going to memory or hard drive.
The Pentium 4 you have may only have a 512kb cache, depending on when is made though.
Intel C2D E6320 / AMD Athlon X2 3800+
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2GB OCZ Gold PC2-6400 / 2GB OCZ Gold PC4000
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2x500GB / 320GB
OCZ GameXStreme 850w / OCZ StealthXStream 600w