I would like to stress contrasts between Christianity and Islam before similarities with regard to Heaven and Hell.
According to the Quran, every human soul will go to Hell (righteous believers as well as wicked infidels), where the ones deserving to go to Paradise will be separated from those destined to suffer eternally in flaming fires:
Maryam  And certainly We know best those who are most worthy of being burned therein.  Not one of you but will pass over it: this is, with thy Lord, a Decree which must be accomplished.  But We shall save those who guarded against evil, and We shall leave the wrong-doers therein, (humbled) to their knees.
In many verses of the Islamic scripture, the whole human race is said to go before Allah, the eternal judge, on the day of judgment. However, it is not clearly stated in the Quran if the ones going to Paradise will live with Allah:
**An-Naml ** And the Day that the Trumpet will be sounded, then will be smitten with terror those who are in the heavens, and those who are on earth, except such as Allah will please (to exempt): and all shall come to His (Presence) as beings conscious of their lowliness.
The idea that righteous believers will see God on the day of resurrection is present in the Quran even though the sense of these verses has long been disputed with no consensus:
**Al-Qiyamet ** Some faces, that Day, will beam (in brightness and beauty);  Looking towards their Lord;  And some faces, that Day, will be sad and dismal,  In the thought that some backbreaking calamity was about to be inflicted on them.
The major contrast between the Biblical and Islamic Paradise is that the latter promises to include virgins for the joy of male believers :
**Ar-Rahman ** In them will be (Maidens), chaste, restraining their glances, whom no man or Jinn before them has touched;  Then which of the favours of your Lord will ye deny?
 Like unto rubies and coral.
**Al-Waqi’a ** We have created (their Companions) of special creation,  And made them virgin - pure (and undefiled) -  Beloved (by nature), equal in age,  For the Companions of the Right Hand.
**Ad-Dukhan ** Among Gardens and Springs;  Dressed in fine silk and in rich brocade, they will face each other;  Moreover, We shall join them to Companions with beautiful, big, and lustrous eyes.