This picture might be more helpful:
In the picture above, the campground is circled in the red line. It has all ground level or slightly (3 ft) elevated boardwalk bike trails. You get there off the beach highway coming in on the yellow circled road. (the bold green lines are the walking/bike trails). That's the ONLY way in to the campground.
The green lines are bike/paved walking trails and the brown dashed lines on either side of the yellow to the blue circled areas are board walk or paved trail. But the blue circles are both board walks OVER the beach highway (walk up - ride down). On the left side the blue goes to the Gulf Hotel Lodge and Fishing Pier; on the right the the blue circle goes to the GSP Pavilion (up/over the highway) but it has bathrooms, covered picnic tables, rental beach chairs/umbrellas, and some concessions in summer. Free parking in both for GSP campers.
The part I circled in purple is the highest elevation on the Backcountry Trail over by the Gulf Course (now closed). It is a rim from a 1,000 year storm that pushed a bunch of sand that HIGH back there. It is gradual to get to but that is the highest point in much of Gulf Shores proper.
So from the red campground you can ride down to the beach along the yellow circle and park at the covered bike parking on the NORTH side of the Beach Highway. Pretty level. Push the pedestrian crossing button at the light and walk across the Beach Highway and along the boardwalk onto the beach. This is my favorite stretch. No bathrooms, no rental chairs or umbrellas, no concessions: just access on an elevated flat walkway to an empty quiet stretch of beach.
From the yellow circle up to the left side of the purple circle is now CLOSED to vehicular traffic but open and flat for bikes or walkers (it's the old Park Road #2 to the Campground). I hope this picture clears things up. GSP is great for bikes and foot traffic.
Bama Ed
PS - get out in the mornings before it gets too humid after lunch.