Marshwarble - In terms of its immigration policy, the UK will not be required to receive approval from the EU, which was something of a driving force in getting the UK out of the EU in the first place.
As far as fishing rights, where territorial waters are involved, then yes, negations will be required, but the UK can now negotiate as a separate entity, which will give it a far greater bargaining position that if it simply had to go along with what the EU decided because the UK was a member, with no choice.