You don't need planning permission providing that your 'permitted development' rights have not been removed by a condition on a previous planning permission.
Bye-laws note: you'll need building bye-law permission to construct an extension except where the extension is a conservatory or covered area that has an internal floor area less than 20 square metres.
You'll need building bye-law permission to construct a conservatory which is not thermally separated from the dwelling by external quality doors or windows achieving a thermal performance not worse than 2.0W/m2k.
For the purposes of the building bye-laws, a conservatory is an enclosure that has not less than 75% of its roof and 50% of its external wall area, made from translucent material.