How are bacteria similar and diffrent from a eukaryote cells?

bacteria are prokaryotes (have no nuclei), whereas eukaryotic cells do.

Bacteria (along with all prokaryotes) do not have nuclei or an membrane-bound organelles (endoplasimic reticuli, golgi body, mitochondria, vacuole, chloroplast, etc).  They are usually, but not always, smaller.  Although both can have flagella (depending on the species), the flagellas operate in different fashion.  Bacterial ribosomes are smaller.  Their genome often consists of only one circular chromosome (although many exceptions exist) while eukaryotes have multiple, linear chromosomes that come in pairs.  All the DNA in a bacterial genome directly codes for proteins, while much of a eukaryotic genome does not.