  Based on the entropy-area relation from Nouicer's generalised uncertainty
principle (GUP), we derive the GUP modified Friedmann equations from the first
law of thermodynamics at apparent horizon. We find a minimum apparent horizon
due to the minimal length notion of GUP. We show that the energy density of
universe has a maximum and finite value at the minimum apparent horizon. Both
minimum apparent horizon and maximum energy density imply the absence of the
Big Bang singularity. Moreover, we investigate the GUP effects on the
deceleration parameter for flat case. Finally, we examine the validity of
generalised second law (GSL) of thermodynamics. We show that GSL always holds
in a region enclosed by apparent horizon for the GUP effects. We also
investigate the GSL in $\Lambda CDM$ cosmology and find that the total entropy
change of universe has a maximum value in the presence of GUP effects. To
better grasp the effects of Nouicer's GUP on cosmology, we compare our results
with those obtained from quadratic GUP (QGUP).
