For Hobbes, we have a natural right to anything we can get. However, because we are all of relatively equal power, we can be pretty sure that eveyone else hopes for the same things and is very likely to take our lives and/or property in pursuit of our own goals.
It is for this reason that we must seek peace. So the goal of peace is security. Here's how obbes defines peace and war:
Hereby it is manifest that during the time men live without a common power to keep them all in awe, they are in that condition which is called war; and such a war as is of every man against every man. For war consisteth not in battle only, or the act of fighting, but in a tract of time, wherein the will to contend by battle is sufficiently known: and therefore the notion of time is to be considered in the nature of war, as it is in the nature of weather. For as the nature of foul weather lieth not in a shower or two of rain, but in an inclination thereto of many days together: so the nature of war consisteth not in actual fighting, but in the known disposition thereto during all the time there is no assurance to the contrary. All other time is peace.