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L1 = Level 1. This is a shorthand notation for a very fast, tightly-coupled cache.

Typically L1 caches are fairly small, but very fast - usually on the order of a couple of clock cycles latency (the time between when a processor make a read request to memory and the time the data is retrieved from memory).

L2 = Level 2. This is another type of cache which is usually somewhat larger (usually by a factor of 16 or so bigger than L1), and slower (read: less expensive). Even though it is slower than L1, it is still much faster than accessing main memory. Systems that have multiple processors may use L2 for sharing information among the processors. That is, each processor has its own L1 cache, but only one L2 which is shared among the processors. Latency here is on the order of 16-32 clock cycles.

Main memory (typically DDR2 or DDR3) can be 64-128+ clock cycles of latency. This means that if you have a very fast processor with no cache (or a cache that is too small) the processor will spend far more time (by a factor of 64 or more) just waiting for data to be retrieved from memory!

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