We I pull away and change from 1st into 2nd there is a hesitation that feels like the engine bogs down, it's only for a second or two but the more I think of it the more it's annoying me. Is this normal or is something wrong ??

Not normal, any other symptoms or have you had any error codes?

No other symptoms and no codes.

I experience a strange feeling when changing up from first to second. It doesn't happen every time and it
feel as though the clutch sticks momentarily.

It doesn't happen when changing into any other gear.

Not a problem but as you say a little annoying.

2013 TD4 GS 17k miles Manual gearbox.

I get that too, dont think its anything to do with sticking more like the engine is still trying to drive as it hasnt slowed down quickly enough for your change, and its made worse in the lower gear because of the higher speed between the input and output, maybe the FL2s have a heavier flywheel than normal, doesnt do it if youre a tad slower with the change i find?

I'm i right in saying the Auto box sets off in 2nd gear?

So would you not be going for 2nd to 3rd? I6 WITH GAS CONVERSION
HST BODY KIT
OSRAM LED DRIVING FOGS
CARS LOOKING GOOOOD!

The OP has a manual..... 10MY (Sept 09) TD4 HSE Auto in Stornoway Grey (Now Gone)

08 FL2 TD4 SE Manual in Rimini Red (Now Gone)

o yes me bad lol I6 WITH GAS CONVERSION
HST BODY KIT
OSRAM LED DRIVING FOGS
CARS LOOKING GOOOOD!

This may be widely off target but I used to have the same hesitation on changing from first to second. I just put up with it for a few months but then I started to have clutch issues that turned out to be he DMF. The clutch plate was fine but both were changed.
Since they were changed I have a silky smooth change from first to second with no lag or hesitation.

May be a consideration but at £800 it's not a solution you really want  MY2010 XS Fuji White dog carrier

It had a clutch and dmf last year approx 5000 miles ago so shouldn't be that.

Might be an Egr issue , mine has had the same problem in the past but a good blast helped and its ok now .

Mark 2009 FL2 TD4 SE (Sadly gone)
2007 FL2 TD4 GS (The wifes , gone after 8 great years)
2012 FL2 SD4 SPORT LE(Gone and missing it)
2015 DISCOVERY SPORT 2.2SD4 HSE (Now gone)
2014 Ford Bmax 1.0 ecoboost ( Gone but what next )
2014 Ford Focus 2.0tdci Zetec S (Gone,but what a car)
2020 Ford Fiesta ActiveX 1.0 Ecoboost
2024 Skoda Kodiaq 1.5 Tsi SEL

I suppose it has only done small journeys lately so a good thrashing might get it hot enough to burn the crap out.

Just make sure you take your foot fully of the clutch between 1 & 2nd as there is a 3 stage switch on the clutch pedal they reduces throttle load depending of position of pedal and can create a hesitation Jaguar x-type sport gone
Jaguar x-type 2.2d sport one of my best cars ever sadly gone
Freelander 2 GS auto 2008 most unreliable ever ! gladly gone
Freelander 2 GS manual 2013 only time will tell !

I might be trying to change to quick as my last car was a subaru forester turbo which was bloody fast lol.