Chances are high that your hotel or your building provides parking. If it does not, you can park in the street where you see the blue lines. Parking is free in Gran Canaria. You cannot park where you see yellow lines and "descarga". During night time you can park at the "descarga" spots.
You can also park in the private underground parkings which will cost a price indicated at the entrance.
FYI the closest parkings to the gay beach near the lighthouse are:
1.Aparcamiento Municipal Maspalomas by Emursa (1.65 EUR per hour. July/August offer: 7 EUR for 12 hours).
2. Lopesan Oasis Parking.
3. Or further away, street parking near Riu Hotel in the South of Playa del Ingles.