Ah yes, the Sunshine Motorway is an interesting project. Lot of stuff to say about Stage 1 of this road but I'll stick to Stage 2 which I believe is what you're referring to, which is the section from Pacific Paradise to Peregian Beach. I don't know a huge amount about this stage but I'll do my best :)
From what I can gather, this stage was built rather cheaply and very quickly. Due to the controversy surrounding the tolls on the first stage of the motorway, it was decided this section would be built without a toll (however the prices at the existing booths south of Pacific Paradise were raised following the opening of this stage). To cut costs, they installed at-grade roundabouts with the intention of providing overpasses at a later date, similar to how the Gateway Motorway was originally built. Local road connections, however, received overpasses or underpasses.
The plan was to ultimately upgrade this section to dual-carriageways which would have been funded by the tolls, however when the tolls were removed in 1996 funding completely dried up for the motorway. There have been several plans over the years for an upgrade of this stretch, but no timeframes just yet for construction. Criminally there is still a short stretch of single-carriageway from Kawana Way to Nicklin Way but this is due to be rectified in the next ten years, along with the disaster that is the Mooloolaba interchange.
Emu Mountain Road (originally a mostly-discontinuous gravel trail but completely rebuilt and extended as part of the motorway project) appears to have been proclaimed a motorway sometime in the early 2010's, following the same setup as the Sunshine Motorway (terminating the designation just prior to the roundabouts). Originally Emu Mountain Road had no roundabouts on its length; these were added in 2006 as part of growing development (Doonan Bridge Road) and as part of Walter Hay Drive (Eumarella Road).
An alpha would be nice for the motorway (M70 to Pacific Paradise and A70 beyond perhaps?), but given TMR's current reputation with alphas its probably best that it doesn't until they can get their act together (which I highly doubt).