Whereas the SN2 reaction proceeds concerted and in a stereospecific way, the SN1 reaction is a two-step reaction which is not stereospecific. Let's look at the SN1 reaction of tert-butyl bromide with OH-:
Although the example above doesn't start from an optically active molecule, you can probably imagine what the result would be if the starting material is, for example, optically pure 1-bromo-1-phenylethane.
The first of two steps depicted above, breaking the C-Br bond, is the rate determining step. Attack of the carbocation by the nucleophile (e.g. OH-, or H2O) is fast, compared to the dissociation of the C-Br bond.
In the next part, you will see that certain reactions can take place during the lifetime of the carbocation, between the bond dissociation and nucleophilic attack. These rearrangements of the carbocation occur due to the relative stability of the different carbocations.